Maximal subgroups of finite simple groups: classifications and applications [PDF]
BCC, 2021 This paper surveys what is currently known about the maximal sub-groups of the finite simple groups. After briefly introducing the groups themselves, if their maximal subgroups are completely determined then we present this classification. For the remaining
C. Roney‐Dougal
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The classification of finite simple groups I. Simple groups and local analysis [PDF]
Bulletin of the American Mathematical Society, 1979 It is indeed unfortunate that Richard Brauer did not live to see the complete classification of the finite simple groups. He had devoted the past thirty years largely to their study and it is difficult to overestimate the impact he made on the subject ...
D. Gorenstein
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Group Knowledge and Mathematical Collaboration: A Philosophical Examination of the Classification of Finite Simple Groups [PDF]
Episteme, 2021 In this paper we apply social epistemology to mathematical proofs and their role in mathematical knowledge. The most famous modern collaborative mathematical proof effort is the Classification of Finite Simple Groups.
Joshua Habgood-Coote, F. Tanswell
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On groups with chordal power graph, including a classification in the case of finite simple groups [PDF]
Journal of Algebraic Combinatorics, 2022 We prove various properties on the structure of groups whose power graph is chordal. Nilpotent groups with this property have been classified by (Electron J Combin 28(3):14, 2021).
Jendrik Brachter, Eda Kaja
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On the classification of finite simple groups by the number of involutions [PDF]
Proceedings of the American Mathematical Society, 1979 Simple groups with k involutions, where k ≡
M. Herzog
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Afterword to the article “A brief history of the classification of the finite simple groups” [PDF]
Bulletin of the American Mathematical Society, 2018 In this afterword the author discusses his previously published article “A brief history of the classification of the finite simple groups”, which appeared in Bull. Amer. Math. Soc. (N.S) 38 (2001), no. 3, 315–352.
R. Solomon
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The Classification of Finite Simple Groups: A Progress Report
Notices of the American Mathematical Society, 2018 This is an expository note focused upon one example, the irrational rotation C∗-algebra. We discuss how this algebra arises in nature—in quantum mechanics, group actions, and foliated spaces, and we explain how K-theory is used to get information out of ...
R. Solomon
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A brief history of the classification of the finite simple groups [PDF]
Bulletin of the American Mathematical Society, 2001 First published in Bulletin of the American Mathematical Society in volume 38, issue 3, published by the American Mathematical Society.
R. Solomon
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Review: Daniel Gorenstein, Finite simple groups, an introduction to their classification [PDF]
Bulletin of the American Mathematical Society, 1983 W. Feit
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The codegree isomorphism problem for finite simple groups [PDF]
Quarterly Journal of Mathematics, 2023 We study the codegree isomorphism problem for finite simple groups. In particular, we show that such a group is determined by the codegrees (counting multiplicity) of its irreducible characters.
Nguyen N. Hung, Alexander Moretó
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