斯蒂芬·斯密斯与迈克尔·乔治·阿苏巴赫研究成果简介
诸平
冯老师要我帮助查阅斯蒂芬·斯密斯（Stephen D. Smith）与迈克尔·乔治·阿苏巴赫（Michael George Aschbacher）的相关研究成果。通过美国《数学评论》（MR）数据库和德国《数学文摘》（zbMATH）数据库进行检索，现将部分检索结果介绍如下，仅供参考。
1. 斯蒂芬·斯密斯（Stephen D. Smith）简介
Stephen D. Smith Professor Emeritus, Mathematics
University of Illinois at Chicago
smiths@uic.edu
更多信息请浏览：http://homepages.math.uic.edu/~smiths/
1.1. 斯蒂芬·斯密斯与迈克尔·乔治·阿舍巴赫成果统计结果
Year | Smith, Stephen D. | zbMATH（135） | |
zbMATH（68） | MR Lookup（63） | ||
1971 | 0 | 0 | 3 |
1972 | 0 | 0 | 3 |
1973 | 2 | 1 | 8 |
1974 | 1 | 1 | 3 |
1975 | 0 | 0 | 3 |
1976 | 4 | 4 | 7 |
1977 | 2 | 2 | 2 |
1978 | 1 | 1 | 3 |
1979 | 4 | 3 | 1 |
1980 | 4 | 3 | 6 |
1981 | 2 | 2 | 9 |
1982 | 3 | 3 | 4 |
1983 | 1 | 1 | 4 |
1984 | 1 | 0 | 5 |
1985 | 6 | 7 | 2 |
1986 | 2 | 2 | 3 |
1987 | 1 | 1 | 4 |
1988 | 3 | 3 | 4 |
1989 | 4 | 4 | 1 |
1990 | 3 | 3 | 6 |
1991 | 1 | 1 | 2 |
1992 | 1 | 1 | 7 |
1993 | 1 | 1 | 4 |
1994 | 3 | 3 | 1 |
1995 | 1 | 1 | 1 |
1996 | 2 | 2 | 1 |
1997 | 1 | 2 | 1 |
1998 | 1 | 1 | 5 |
1999 | 0 | 0 | 0 |
2000 | 0 | 1 | 3 |
2001 | 0 | 0 | 2 |
2002 | 0 | 0 | 2 |
2003 | 0 | 0 | 2 |
2004 | 2 | 2 | 4 |
2005 | 0 | 0 | 2 |
2006 | 1 | 1 | 2 |
2007 | 0 | 0 | 2 |
2008 | 1 | 1 | 5 |
2009 | 0 | 0 | 4 |
2010 | 0 | 0 | 2 |
2011 | 2 | 2 | 3 |
2012 | 0 | 0 | 1 |
2013 | 0 | 0 | 3 |
2014 | 1 | 0 | 1 |
2015 | 0 | 0 | 0 |
2016 | 1 | 0 | 3 |
2017 | 1 | 0 | 1 |
2018 | 2 | 2 | 0 |
2019 | 1 | 0 | 1 |
2020 | 0 | 0 | 2 |
2021 | 0 | 0 | 4 |
2022 | 1 | 1 | 1 |
合计 | 68 | 63 | 135 |
1.2. 斯蒂芬·斯密斯被引最高的前5项
1.3. 斯蒂芬·斯密斯部分成果题录
Piterman, Kevin Iván; Smith, Stephen D. Eliminating components in Quillen's conjecture. J. Algebra 607 (2022), part A, 681--732. MR4441345 |
Smith, Stephen D. A survey: Bob Griess's work on simple groups and their classification. Bull. Inst. Math. Acad. Sin. (N.S.) 13 (2018), no. 4, 365--382. MR3888877 |
Smith, Stephen D. Applying the classification of finite simple groups. A user's guide. Mathematical Surveys and Monographs, 230. American Mathematical Society, Providence, RI, 2018. xiii+231 pp. ISBN: 978-1-4704-4291-0 MR3753581 |
Smith, Stephen D. Subgroup complexes. Mathematical Surveys and Monographs, 179. American Mathematical Society, Providence, RI, 2011. xii+364 pp. ISBN: 978-0-8218-0501-5 MR2850680 |
Aschbacher, Michael; Lyons, Richard; Smith, Stephen D.; Solomon, Ronald. The classification of finite simple groups. Groups of characteristic 2 type. Mathematical Surveys and Monographs, 172. American Mathematical Society, Providence, RI, 2011. xii+347 pp. ISBN: 978-0-8218-5336-8 MR2778190 |
Benson, David J.; Smith, Stephen D. Classifying spaces of sporadic groups. Mathematical Surveys and Monographs, 147. American Mathematical Society, Providence, RI, 2008. xvi+289 pp. ISBN: 978-0-8218-4474-8 MR2378355 |
Grodal, Jesper; Smith, Stephen D. Propagating sharp group homology decompositions. Adv. Math. 200 (2006), no. 2, 525--538. MR2200855 |
Aschbacher, Michael; Smith, Stephen D. The classification of quasithin groups. II. Main theorems: the classification of simple QTKE-groups. Mathematical Surveys and Monographs, 112. American Mathematical Society, Providence, RI, 2004. pp. i--xii and 479--1221. ISBN: 0-8218-3411-8 MR2097624 |
Aschbacher, Michael; Smith, Stephen D. The classification of quasithin groups. I. Structure of strongly quasithin $K$-groups. Mathematical Surveys and Monographs, 111. American Mathematical Society, Providence, RI, 2004. xiv+477 pp. ISBN: 0-8218-3410-X MR2097623 |
Smith, Stephen D. Remarks on "financial services integration: right for some, wrong for others?''. N. Am. Actuar. J. 4 (2000), no. 3, 109--110. MR1977329 |
Aschbacher, Michael G.; Smith, Stephen D. Quasithin groups. Groups and geometries (Siena, 1996), 1--7, Trends Math., Birkhäuser, Basel, 1998. MR1644971 |
Cummins, J. David; Phillips, Richard D.; Smith, Stephen D. Corporate hedging in the insurance industry: the use of financial derivatives by U.S. insurers. N. Am. Actuar. J. 1 (1997), no. 1, 13--49. MR2012083 |
Smith, Stephen D.; Yoshiara, Satoshi. Some homotopy equivalences for sporadic geometries. J. Algebra 192 (1997), no. 1, 326--379. MR1449965 |
Smith, Stephen D. A block complex collapsing to the Brauer tree. Groups, difference sets, and the Monster (Columbus, OH, 1993), 93--97, Ohio State Univ. Math. Res. Inst. Publ., 4, de Gruyter, Berlin, 1996. MR1400411 |
Smith, Stephen D.; Umland, Kristin L. Stability of cohomology via double-coset products and suborbit diagrams. J. Algebra 182 (1996), no. 3, 627--652. MR1398114 |
Smith, Stephen D.; Yoshiara, Satoshi. Group geometries and error-correcting codes. J. Algebra 175 (1995), no. 1, 199--211. MR1338975 |
Griess, Robert L., Jr.; Smith, Stephen D. Minimal dimensions for modular representations of the Monster. Comm. Algebra 22 (1994), no. 15, 6279--6294. MR1303004 |
Smith, Stephen D. Universality of the $24$-dimensional embedding of the $\cdot 1\ 2$-local geometry. Comm. Algebra 22 (1994), no. 13, 5159--5166. MR1291025 |
Smith, Stephen D. The dual-parapolar space for the Monster embeds in the Griess module ${\rm Mod}\, 2$. Algebraic combinatorics (Vladimir, 1991). European J. Combin. 15 (1994), no. 1, 57--65. MR1257675 |
Aschbacher, Michael; Smith, Stephen D. On Quillen's conjecture for the $p$-groups complex. Ann. of Math. (2) 137 (1993), no. 3, 473--529. MR1217346 |
Frohardt, Daniel E.; Smith, Stephen D. Universal embeddings for the ${}^3\!D_4(2)$ hexagon and $J_2$ near-octagon. European J. Combin. 13 (1992), no. 6, 455--472. MR1193554 |
Smith, Stephen D. Weights and covers of chamber systems. Geom. Dedicata 37 (1991), no. 1, 103--118. MR1094229 |
Cohen, Steve M.; Smith, Stephen D. A geometric presentation of the $26$-dimensional module for $F_4(q)$. J. Algebra 132 (1990), no. 2, 474--487. MR1061492 |
Smith, Stephen D. On decomposition of modular representations from Cohen-Macaulay geometries. J. Algebra 131 (1990), no. 2, 598--625. MR1058568 |
Ryba, A. J. E.; Smith, Stephen D.; Yoshiara, Satoshi. Some projective modules determined by sporadic geometries. J. Algebra 129 (1990), no. 2, 279--311. MR1040940 |
Smith, Stephen D. Quadratic action and the natural module for ${\rm SL}_2(k)$. J. Algebra 127 (1989), no. 1, 155--162. MR1029409 |
Smith, Stephen D.; Völklein, Helmut. A geometric presentation for the adjoint module of ${\rm SL}_3(k)$. J. Algebra 127 (1989), no. 1, 127--138. MR1029407 |
Smith, Stephen D. A geometric condition for incidence-matrix nullvectors. J. Combin. Theory Ser. A 51 (1989), no. 1, 129--134. MR0993657 |
Ronan, Mark A.; Smith, Stephen D. Computation of 2-modular sheaves and representations for L4(2), A7, 3S6, and M24. (English) Zbl 0676.20007 Commun. Algebra 17, No. 5, 1199-1237 (1989). Reviewer: G.Stroth |
Smith, Stephen D. Construction of group representations from geometries. Computers in algebra (Chicago, IL, 1985), 143--149, Lecture Notes in Pure and Appl. Math., 111, Dekker, New York, 1988. MR1060765 |
Smith, Stephen D. Geometric methods in group theory. Algebraic, extremal and metric combinatorics, 1986 (Montreal, PQ, 1986), 219--237, London Math. Soc. Lecture Note Ser., 131, Cambridge Univ. Press, Cambridge, 1988. MR1052669 |
Smith, Stephen D. Geometric techniques in representation theory. Geometries and groups (Noordwijkerhout, 1986). Geom. Dedicata 25 (1988), no. 1-3, 355--373. MR0925842 |
Smith, Stephen D. Constructing representations from group geometries. The Arcata Conference on Representations of Finite Groups (Arcata, Calif., 1986), 303--313, Proc. Sympos. Pure Math., 47, Part 1, Amer. Math. Soc., Providence, RI, 1987. MR0933367 |
Ronan, Mark A.; Smith, Stephen D. Universal presheaves on group geometries, and modular representations. J. Algebra 102 (1986), no. 1, 135--154. MR0853235 |
Segev, Yoav; Smith, Stephen D. Apartments and the Cayley-algebra module for $G_2(k)$. Comm. Algebra 14 (1986), no. 3, 493--506. MR0823350 |
Smith, Stephen D. Homology representations from group geometries. Proceedings of the conference on groups and geometry, Part B (Madison, Wis., 1985). Algebras Groups Geom. 2 (1985), no. 4, 514--540. MR0852422 |
Smith, Stephen D. Residual geometries for sporadic and classical groups—a survey. Finite groups—coming of age (Montreal, Que., 1982), 315--334, Contemp. Math., 45, Amer. Math. Soc., Providence, RI, 1985. MR0822246 |
Smith, Stephen D. On the head characters of the Monster simple group. Finite groups—coming of age (Montreal, Que., 1982), 303--313, Contemp. Math., 45, Amer. Math. Soc., Providence, RI, 1985. MR0822245 |
Ronan, Mark A.; Smith, Stephen D. Sheaves on buildings and modular representations of Chevalley groups. J. Algebra 96 (1985), no. 2, 319--346. MR0810532 |
Smith, Stephen D. Sheaf homology and complete reducibility. J. Algebra 95 (1985), no. 1, 72--80. MR0797655 |
Smith, Stephen D. Sheaf homology for truncated buildings of type $M_{24}/{\rm Sp}_8(2)$. J. Algebra 95 (1985), no. 1, 1--19. MR0797650 |
Homology representations from group geometries. (English) Zbl 0596.20027 Algebras Groups Geom. 2, 514-540 (1985). Reviewer: E.I.Huhro |
Aschbacher, Michael; Smith, Stephen D. Tits geometries over ${\rm GF}(2)$ defined by groups over ${\rm GF}(3)$. Comm. Algebra 11 (1983), no. 15, 1675--1684. MR0702413 |
Mason, Geoffrey; Smith, Stephen D. Minimal $2$-local geometries for the Held and Rudvalis sporadic groups. J. Algebra 79 (1982), no. 2, part 1, 286--306. MR0682880 |
Smith, Stephen D. Spin modules in characteristic $2$. J. Algebra 77 (1982), no. 2, 392--401. MR0673123 |
Smith, Stephen D. Irreducible modules and parabolic subgroups. J. Algebra 75 (1982), no. 1, 286--289. MR0650422 |
Smith, Stephen D. A characterization of symplectic groups over ${\rm GF}(2)$. J. Algebra 72 (1981), no. 2, 456--477. MR0641336 |
Smith, Stephen D. A characterization of some Chevalley groups in characteristic two. J. Algebra 68 (1981), no. 2, 390--425. MR0608542 |
Smith, Stephen D. The classification of finite groups with large extraspecial $2$-subgroups. The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979), pp. 111--120, Proc. Sympos. Pure Math., 37, Amer. Math. Soc., Providence, R.I., 1980. MR0604567 |
Smith, Stephen D. A characterization of finite Chevalley and twisted groups of type $E$ over ${\rm GF}(2)$. J. Algebra 62 (1980), no. 1, 101--117. MR0561119 |
Smith, Stephen D. A characterization of orthogonal groups over ${\rm GF}(2)$. J. Algebra 62 (1980), no. 1, 39--60. MR0561116 |
Ferguson, Pamela A.; Smith, Stephen D. Strongly self-centralizing Sylow $3$-groups. J. Algebra 58 (1979), no. 2, 572--580. MR0540659 Ferguson, Pamela A.; Smith, Stephen D. Strongly self-centralizing Sylow 3-groups. (English) Zbl 0416.20012 |
Smith, Stephen D. Large extraspecial subgroups of widths $4$ and $6$. J. Algebra 58 (1979), no. 2, 251--281. MR0540638 Large extraspecial subgroups of widths 4 and 6. (English) Zbl 0411.20009 |
Smith, Stephen D. On maximal-class $3$-groups and strong $3$-embedding. J. Algebra 56 (1979), no. 2, 396--400. MR0528583 On maximal-class 3-groups and strong 3-embedding. (English) Zbl 0402.20021 |
Hyatt, G. W.; Smith, St. D.; Raghavan, T. E. S. Game theory models of intermale combat in fiddler crabs (Genus Uca). (English) Zbl 0415.92004 Applied game theory, Proc. Conf. Inst. adv. Stud., Vienna 1978, IHS-Stud. 1, 414-429 (1979). |
Smith, Stephen D. Even automizers and conjugacy of involutions. J. Algebra 54 (1978), no. 2, 504--515. MR0514082 |
Smith, Stephen D. Nonassociative commutative algebras for triple covers of $3$-transposition groups. Michigan Math. J. 24 (1977), no. 3, 273--287. MR0491931 |
Smith, Stephen D. Sylow automizers of odd order. J. Algebra 46 (1977), no. 2, 523--543. MR0439923 |
Smith, Stephen D. Sylow automizers of odd order or an application of coherence. Proceedings of the Conference on Finite Groups (Univ. Utah, Park City, Utah, 1975), pp. 445--449. Academic Press, New York, 1976. MR0417282 |
Smith, Stephen D. On $p$-singular control of $p$-regular character values. J. Algebra 39 (1976), no. 1, 255--276. MR0401894 |
Smith, Stephen D. Some methods in the theory of blocks of characters. J. Algebra 39 (1976), no. 2, 360--374. MR0401893 |
Isaacs, I. M.; Smith, Stephen D. A note on groups of $p$-length $1$. J. Algebra 38 (1976), no. 2, 531--535. MR0393215 |
Smith, Stephen D. On finite groups with a certain Sylow normalizer. III. J. Algebra 29 (1974), 489--503. MR0346049 |
Smith, Stephen D.; Tyrer, A. P. On finite groups with a certain Sylow normalizer. I, II. J. Algebra 26 (1973), 343--365; ibid. {\bf 26} (1973), 366--367. MR0323888
Smith, S.D; Tyrer, A.P, On finite groups with a certain Sylow normalizer, J. algebra, 26, 343-365, (1973) · Zbl 0264.20012
AUTHOR = {Smith, Stephen D. and Tyrer, A. P.}, TITLE = {On finite groups with a certain {S}ylow normalizer. {I}}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {26}, YEAR = {1973}, PAGES = {343--365}, ISSN = {0021-8693}, MRCLASS = {20C20}, MRNUMBER = {MR0323888 (48 \#2241)}, MRREVIEWER = {I. M. Isaacs}, |
更多信息，请浏览：http://homepages.math.uic.edu/~smiths/smithbib.html
1.4. 斯蒂芬·斯密斯的6部著作（6 Books）
2 迈克尔·乔治·阿苏巴赫（Aschbacher, Michael George）研究成果
2.1迈克尔·乔治·阿苏巴赫简介
Shaler Arthur Hanisch Professor of Mathematics, Emeritus
Contact information for Michael Aschbacher | |
Email: | |
Research Website Personal Website
B.S., Caltech, 1966;
Ph.D., University of Wisconsin, 1969.
Bateman Research Instructor, Caltech, 1970-72;
Assistant Professor, 1972-74;
Associate Professor, 1974-76;
Professor, 1976-96;
Hanisch Professor, 1996-2013;
Hanisch Professor, Emeritus, 2013-;
Executive Officer for Mathematics, 1991-94.
Research Areas: Mathematics
Michael G. Aschbacher is the Shaler Arthur Hanisch Professor of Mathematics at the California Institute of Technology. He is a member of the National Academy of Sciences. Aschbacher is best known for his work on finite groups. He was a leading figure in the completion of the classification of finite simple groups in the 1970s and 1980s. It later turned out that the classification was incomplete, because the case of quasithin groups had not been finished. This gap was fixed by Aschbacher and Stephen D. Smith in 2004, in a pair of books comprising about 1300 pages. The classification of finite simple groups is considered one of the crowning achievements of modern mathematics. In 2012 he received the Leroy P. Steele Prize for Mathematical Exposition and the Wolf Prize in Mathematics, and became a fellow of the American Mathematical Society. Aschbacher served as vice president of the AMS from 1996 to 1998.
https://pantheon.world/profile/person/Michael_Aschbacher/
2.2 《德国数学文摘》（zbMATH）收录统计结果
参看前述统计表，最新统计结果自1971年以来有148项成果被zbMATH数据库收录，其中包括著作15部（including 15 Books）
2.3 zbMATH数据库收录逐年收录量
2.4 zbMATH数据库高引前5项成果
Citations contained in zbMATH Open
135 Publications have been cited 2,688 times in 1,772 Documents | Cited by ▼ | Year |
On the maximal subgroups of the finite classical groups. Zbl 0537.20023 | 1984 | |
1986 | ||
Involutions in Chevalley groups over fields of even order. Zbl 0359.20014 | 1976 | |
Fusion systems in algebra and topology. Zbl 1255.20001 | 2011 | |
Some applications of the first cohomology group. Zbl 0554.20017 | 1984 |
2.5 15部著作题录
Quaternion fusion packets. (English) Zbl 07376110
Contemporary Mathematics 765. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5665-8/pbk; 978-1-4704-6421-9/ebook). vii, 444 p. (2021).
On fusion systems of component type. (English) Zbl 1481.20001
Memoirs of the American Mathematical Society 1236. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3520-2/pbk; 978-1-4704-4955-1/ebook). v, 182 p. (2019).
Reviewer: Mohammad-Reza Darafsheh (Tehran)
MSC: 20-02 20D05 20D20 20D30 55R35
Overgroups of root groups in classical groups. (English) Zbl 1406.20021
Mem. Am. Math. Soc. 1140, vi, 188 p. (2016).
Aschbacher, Michael; Kessar, Radha; Oliver, Bob
Fusion systems in algebra and topology. (English) Zbl 1255.20001
London Mathematical Society Lecture Note Series 391. Cambridge: Cambridge University Press (ISBN 978-1-107-60100-0/pbk). vi, 320 p. (2011).
Reviewer: Corina Mohorianu (Iaşi)
MSC: 20-02 20C20 20D20 55R35 55R40 20C33 20D60 20J15 55Q99 55P99
Aschbacher, Michael; Lyons, Richard; Smith, Stephen D.; Solomon, Ronald
The classification of finite simple groups. Groups of characteristic 2 type. (English) Zbl 1218.20007
Mathematical Surveys and Monographs 172. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5336-8/hbk). xii, 347 p. (2011).
Reviewer: Anatoli Kondrat’ev (Ekaterinburg)
The generalized Fitting subsystem of a fusion system. (English) Zbl 1278.20020
Mem. Am. Math. Soc. 986, v, 110 p. (2011).
Aschbacher, Michael; Smith, Stephen D.
The classification of quasithin groups. II: Main theorems: the classification of simple QTKE-groups. (English) Zbl 1065.20024
Mathematical Surveys and Monographs 112. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3411-8/hbk). xii, pp. 479-1221. (2004).
Reviewer: Anatoli Kondrat’ev (Ekaterinburg)
Aschbacher, Michael; Smith, Stephen D.
The classification of quasithin groups. I: Structure of strongly quasithin KK-groups. (English) Zbl 1065.20023
Mathematical Surveys and Monographs 111. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3410-X/hbk). xiv, 477 p. (2004).
Reviewer: Anatoli Kondrat’ev (Ekaterinburg)
Finite group theory. 2nd ed. (English) Zbl 0997.20001
Cambridge Studies in Advanced Mathematics. 10. Cambridge: Cambridge University Press. xi, 304 p. (2000).
Reviewer: U.Dempwolff (Kaiserslautern)
MSC: 20-02 20Dxx 20-01 20F05 20E08 20F65 20C15 20B30
33-transposition groups. (English) Zbl 0883.20010
Cambridge Tracts in Mathematics. 124. Cambridge: Cambridge University Press. vii, 260 p. (1997).
Reviewer: G.Stroth (Halle)
Sporadic groups. (English) Zbl 0804.20011
Cambridge Tracts in Mathematics. 104. Cambridge: Cambridge University Press. xii, 314 p. (1994).
Reviewer: U.Dempwolff (Kaiserslautern)
Finite group theory. Corrected reprint of the 1986 orig. (English) Zbl 0826.20001
Cambridge Studies in Advanced Mathematics. 10. Cambridge: Cambridge University Press. x, 274 p. (1993).
MSC: 20-02 20Dxx 20F05 20F65 20C15 20B30
Overgroups of Sylow subgroups in sporadic groups. (English) Zbl 0585.20005
Mem. Am. Math. Soc. 343, 235 p. (1986).
Reviewer: G.Stroth
Finite group theory. (English) Zbl 0583.20001
Cambridge Studies in Advanced Mathematics, 10. Cambridge etc.: Cambridge University Press. IX, 274 p. ￡22.50; $ 32.50 (1986).
Reviewer: U.Dempwolff
MSC: 20-02 20Dxx 20C15 20F05 20F65 20B30
The finite simple groups and their classification. (James K. Whittemore lectures in mathematics given at Yale University). (English) Zbl 0435.20007
Yale Mathematical Monographs 7. New Haven, London: Yale University Press. IX, 61 p. ￡4.40 (1980).
转载本文请联系原作者获取授权，同时请注明本文来自诸平科学网博客。
链接地址：https://wap.sciencenet.cn/blog-212210-1356342.html?mobile=1
收藏
