Results 21 to 30 of about 58,853 (262)
GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS
Forum of Mathematics, Sigma, 2020 For a finite group $G$, let $d(G)$ denote the minimal number of elements required to generate $G$. In this paper, we prove sharp upper bounds on $d(H)$ whenever $H$ is a maximal subgroup of a finite almost simple group.
ANDREA LUCCHINI +2 more
doaj +1 more source
Designs from maximal subgroups and conjugacy classes of $\mathrm{PSL}(2,q)$, $q$ odd [PDF]
AUT Journal of Mathematics and Computing, 2023 In this paper, using a method of construction of $1$-designs which are not necessarily symmetric, introduced by Key and Moori, we determine a number of $1$-designs with interesting parameters from the maximal subgroups and the conjugacy classes of ...
Xavier Mbaale +2 more
doaj +1 more source
Maximal Subgroups of a Given Group [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
openaire +2 more sources
Counting maximal arithmetic subgroups [PDF]
Duke Mathematical Journal, 2007 We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semisimple Lie group using an extension of the method developed by Borel and Prasad.
Belolipetsky, M. +2 more
openaire +3 more sources
Maximal Subgroups of Symmetric Groups
Journal of Combinatorial Theory, Series A, 1996 The purpose of this paper is to give estimates on the number of conjugacy classes of maximal subgroups of the finite symmetric groups \(S_n\), on \(n\) letters in terms of \(n\). It is shown that this number is of the form \((\frac12+o(1))n\). The main work has to be done in establishing that \(S_n\) has at most \(n^{6/11+o(1)}\) conjugacy classes of ...
Martin W. Liebeck, Aner Shalev
openaire +1 more source
Maximal Subgroups of a Finite Group [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
openaire +3 more sources
On theta pairs for a maximal subgroup [PDF]
Proceedings of the American Mathematical Society, 1990 For a maximal subgroup M M of a finite group G G , a Θ \Theta -pair is any pair of subgroups ( C , D ) (C,D) of G G such that (i) D ◃ G , D ⊂ C D \triangleleft G,D ...
Mukherjee, N. P., Bhattacharya, Prabir
openaire +2 more sources
Free subgroups in maximal subgroups of skew linear groups [PDF]
International Journal of Algebra and Computation, 2019 The study of the existence of free groups in skew linear groups have begun since the last decades of the 20th century. The starting point is the theorem of Tits (1972), now often referred to as Tits’ Alternative, stating that every finitely generated subgroup of the general linear group [Formula: see text] over a field [Formula: see text] either ...
Bui Xuan Hai, Huynh Viet Khanh
openaire +3 more sources
Maximal subgroups of finite groups
International Journal of Mathematics and Mathematical Sciences, 1990 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.
S. Srinivasan
doaj +1 more source
The number of maximal subgroups and probabilistic generation of finite groups [PDF]
International Journal of Group Theory, 2020 In this survey we present some significant bounds for the number of maximal subgroups of a given index of a finite group. As a consequence, new bounds for the number of random generators needed to generate a finite $d$-generated group with high
Adolfo Ballester Bolinches +3 more
doaj +1 more source