Results 51 to 60 of about 202,613,988 (162)
Abstract Finite groups and simple groups are fundamental structures in algebra that play critical roles in various fields, including cryptography and coding theory. The classification of finite simple groups is one of the most significant achievements in modern mathematics, providing a comprehensive list of building blocks for all finite groups.
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A conjecture of Frobenius and the sporadic simple groups. II
, 1986 A conjecture of Frobenius which has been reduced to the classification of finite simple groups is verified for the sporadic simple groups.
Hiroyoshi Yamaki
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Finiteness properties of profinite groups [PDF]
, 2010 PhDBroadly speaking, a finiteness property of groups is any generalisation of the property of having finite order. A large part of infinite group theory is concerned with finiteness properties and the relationships between them. Profinite groups are an
Colin David Reid +2 more
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2-signalizers in almost simple groups
, 2010 This paper offers an exhaustive study of certain 2-signalizers in known non-sporadic finite simple groups. The main result of this paper is relevant to the Generation-2 proof of the Classification of Finite Simple Groups. (C) 2010 Elsevier Inc.
Capdeboscq, Inna (Korchagina)
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The factorizations of finite classical groups [PDF]
We classify the factorizations of finite classical groups with nonsolvable factors, completing the classification of factorizations of finite almost simple ...
Li, Cai Heng, Wang, Lei, Xia, Binzhou
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The classification of finite simple groups I. Simple groups and local analysis [PDF]
Bulletin of the American Mathematical Society, 1979 openaire +2 more sources
Classification of Maximal Subgroups of Odd Index in Finite Simple Classical groups: Addendum
Sibirskie Elektronnye Matematicheskie Izvestiya, 2017 11 pages, to appear in Siberian Electronic Mathematical ...
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Inductive McKay condition for finite simple groups of type 𝖢
, 2017 We verify the inductive McKay condition for simple groups of Lie type C \mathsf {C} , namely finite projective symplectic groups.
Marc Cabanes, Britta Späth
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An introduction to the classification of finite simple groups [PDF]
Bulletin of the American Mathematical Society, 1979 openaire +2 more sources
Commuting Involutions in Finite Simple Groups [PDF]
We prove that if $G$ is a finite simple group and $x, y \in G$ are involutions, then $|x^G \cap C_G(y)| \rightarrow \infty$ as $|G| \rightarrow \infty$. This extends results of Guralnick-Robinson and Skresanov. We also prove a related result about $C_{G}(
Guralnick, Robert M. +1 more
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