Results 21 to 30 of about 94 (67)
A New Characterization of A 11
, 2014 Let G be a group and ω(G) be the set of element orders of G. Let k ∈ ω(G) and sk be the number of elements of order k in G. Let nse(G )= {sk k ∈ ω(G)}. The groups A5, A6, A7 and A8 are unique determined by nse(G).
Yong Yang, Shitian Liu, Yanhua Huang
semanticscholar +1 more source
Fusion Systems and Rank $2$ Simple Groups of Lie Type
Forum of Mathematics, SigmaFor any prime p and S a p-group isomorphic to a Sylow p-subgroup of a rank $2$ simple group of Lie type in characteristic p, we determine all saturated fusion systems supported on S up to isomorphism.
Martin van Beek
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Non-solvable groups with a large fraction of involutions
Astérisque, 2018 — In this note we classify the non-solvable finite groups G such that the class number of G is at least |G|/16. Some consequences are derived as well. C.T.C.
Y. Berkovich
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On Groups with the Same Set of Order Elements
, 2006 It is proved that up to isomorphism there are only two finite groups with the same set of element orders as the group PSL6(3).
M. Darafsheh +2 more
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Schur multipliers of the known finite simple groups
, 1972 In this note, we announce some results about the Schur multipliers of the known finite simple groups. Proofs will appear elsewhere. We shall conclude with a summary of current knowledge on the subject.
R. Griess
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, 1991 Let G be a finite group and e be a positive integer dividing the order of G. Frobenius conjectured that if the number of elements whose orders divide e equals e , then G has a subgroup of order e .
N. Iiyori, H. Yamaki
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Recognition of the simple unitary group PSU 3(p) by its order and degree prime-power graph
Open MathematicsLet G be a finite group, and let cd (G) denote the set of all irreducible character degrees of G. The set ρ(G) represents all prime divisors of the integers in cd (G). For a prime p and a positive integer n, let n p denote the p part of n.
Qin Chao +3 more
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Maximal subgroups and PST-groups
Open Mathematics, 2013 Ballester-Bolinches Adolfo +3 more
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A characterization of PSL(3 ;q ) where q is an odd prime power
, 2002 A. Iranmanesh, S. H. Alavi, B. Khosravi
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Schur multipliers of finite simple groups of Lie type
, 1973 R. Griess
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