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The Classification of the Finite Simple Groups, Number 10
Mathematical Surveys and Monographs, 2023Inna Capdeboscq+3 more
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A new characterization of some families of finite simple groups
, 2017Let G be a finite group. A vanishing element of G is an element g ∈ G such that χ(g) = 0 for some irreducible complex character χ of G. Denote by Vo(G) the set of the orders of vanishing elements of G.
M. F. Ghasemabadi+2 more
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On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function
, 2005We prove that the number of conjugacy classes of maximal subgroups of bounded order in a finite group of Lie type of bounded rank is bounded. For exceptional groups this solves a longstanding open problem.
M. Liebeck, B. Martin, A. Shalev
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Locally finite simple groups from the standpoint of the classification of finite simple groups
V. V. Belyaev
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Some Ideas in the Classification of the Finite Simple Groups
2004Everything we report about is joint work with U. Meierfrankenfeld and B. Stellmacher. The key idea for the existing classification of the finite simple groups is due R. Brauer [Br],[BrFo]. He suggested to classify the finite simple groups by the centralizers of their involutions.
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Classification of maximal subgroups of odd index in finite simple classical groups [PDF]
The classification of maximal subgroups of odd index in finite simple classical groups is obtained.
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On 7-valent symmetric Cayley graphs of finite simple groups
Journal of Algebraic Combinatorics, 2022J. Li, Jicheng Ma, Wenying Zhu
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The finite simple groups and their classification
, 1980M. Aschbacher
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Finite Simple Groups: An Introduction to Their Classification
, 1982D. Gorenstein
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The Classification of the Finite Simple Groups, Number 3
, 1995D. Gorenstein, R. Lyons, R. Solomon
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