Commentary on “A brief history of the classification of the finite simple groups” by Ronald Solomon
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- by Robert M. Guralnick PDF
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Abstract:
Immediately following the commentary below, the previously published article is reprinted in its entirety: Ronald Solomon, “A brief history of the classification of the finite simple groups”, Bull. Amer. Math. Soc. (N.S) 38 (2001), no. 3, 315–352.References
- Michael Aschbacher and Bob Oliver, Fusion systems, Bull. Amer. Math. Soc. (N.S.) 53 (2016), no. 4, 555–615. MR 3544261, DOI 10.1090/bull/1538
- Michael Aschbacher and Stephen D. Smith, The classification of quasithin groups. I, Mathematical Surveys and Monographs, vol. 111, American Mathematical Society, Providence, RI, 2004. Structure of strongly quasithin $K$-groups. MR 2097623, DOI 10.1090/surv/111
- Michael Aschbacher and Stephen D. Smith, The classification of quasithin groups. II, Mathematical Surveys and Monographs, vol. 112, American Mathematical Society, Providence, RI, 2004. Main theorems: the classification of simple QTKE-groups. MR 2097624, DOI 10.1086/428989
- Enrico Bombieri, A. Odlyzko, and D. Hunt, Thompson’s problem $(\sigma ^{2}=3)$, Invent. Math. 58 (1980), no. 1, 77–100. Appendices by A. Odlyzko and D. Hunt. MR 570875, DOI 10.1007/BF01402275
- Robert Guralnick, Applications of the classification of finite simple groups, Proceedings of the International Congress of Mathematicians—Seoul 2014. Vol. II, Kyung Moon Sa, Seoul, 2014, pp. 163–177. MR 3728610
- Otto Hölder, Die einfachen Gruppen im ersten und zweiten Hundert der Ordnungszahlen, Math. Ann. 40 (1892), no. 1, 55–88 (German). MR 1510711, DOI 10.1007/BF01443490
- Stephen D. Smith, Applying the classification of finite simple groups, Mathematical Surveys and Monographs, vol. 230, American Mathematical Society, Providence, RI, 2018. A user’s guide. MR 3753581, DOI 10.1090/surv/230
- R. Solomon, The classification of finite simple groups: a progress report, Notices Amer. Math. Soc. 65 (2018), no. 6, 646–651.
- John G. Thompson, Nonsolvable finite groups all of whose local subgroups are solvable, Bull. Amer. Math. Soc. 74 (1968), 383–437. MR 230809, DOI 10.1090/S0002-9904-1968-11953-6
Additional Information
- Robert M. Guralnick
- Affiliation: Department of Mathematics, University of Southern California, Los Angeles, California 90089-2532
- MR Author ID: 78455
- Email: guralnic@usc.edu
- Received by editor(s): July 2, 2018
- Published electronically: July 18, 2018
- Additional Notes: The author was partially supported by the NSF grant DMS-1600056.
- © Copyright 2018 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 55 (2018), 451-452
- MSC (2010): Primary 20D05
- DOI: https://doi.org/10.1090/bull/1638
- MathSciNet review: 3854073