Results 11 to 20 of about 40 (31)
Generators for maximal subgroups of Conway group Co1
Open Mathematics, 2019 The Conway groups are the three sporadic simple groups Co1, Co2 and Co3. There are total of 22 maximal subgroups of Co1 and generators of 6 maximal subgroups are provided in web Atlas of finite simple groups.
Yasin Faisal +3 more
doaj +1 more source
A new characterization of some alternating and symmetric groups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 45, Page 2863-2872, 2003., 2003 We suppose that p = 2α3β + 1, where α ≥ 1, β ≥ 0, and p ≥ 7 is a prime number. Then we prove that the simple groups An, where n = p, p + 1, or p + 2, and finite groups Sn, where n = p, p + 1, are also uniquely determined by their order components. As corollaries of these results, the validity of a conjecture of J. G.
Amir Khosravi, Behrooz Khosravi
wiley +1 more source
Maximal subgroups of finite groups
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 311-314, 1990., 1989 In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the whole group then it influences the structure of the group itself. In this paper we study the case when the index of the maximal subgroups of the groups have a special type of relation with the Fitting ...
S. Srinivasan
wiley +1 more source
Associativity of the Commutator Operation in Groups
, 2009 The study of associativity of the commutator operation in groups goes back to the work of F. W. Levi in 1942. In the 1960’s Richard J. Thompson created a group F whose elements are representatives of the generalized associative law for an arbitrary ...
Guzmán, Fernando
core +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
doaj +1 more source
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
doaj +1 more source
Quasirecognition by the prime graph of the group Cn(2), where n ? 3 6 is odd
, 2011 Let G be a nite group and let (G) be the prime graph of G. We assume that n is an odd number. In this paper, we show that if (G) = (Cn(2)), where n ? 3, then 6 G has a unique nonabelian composition factor isomorphic to Cn(2).
Husna Zayadi
core
A new characterization of PGL(2, p) by its noncommuting graph
, 2011 Let G be a nite non-abelian group. The noncommuting graph of G is denoted by ? (G) and is defined as follows: the vertex set of ? (G) is GZ(G) and two vertices x and y are adjacent if and only if xy ? yx. Let p be a prime number.
Husna Zayadi
core
A characterization of some alternating groups A p+8 of degree p + 8 by OD. [PDF]
Springerplus, 2016 Liu S, Zhang Z.
europepmc +1 more source
Maximal subgroups and PST-groups
Open Mathematics, 2013 Ballester-Bolinches Adolfo +3 more
doaj +1 more source