Results 21 to 30 of about 652,444 (293)
On a Maximal Subgroup of the Affine General Linear Group of GL(6, 2) [PDF]
Advances in Group Theory and Applications, 2021 The affine general linear group 2^5:GL(5, 2) of GL(6, 2) has 6 conjugacy classes of maximal subgroups. The largest maximal subgroup is a group of the form 2^(1+8)_+ : GL(4, 2). In this paper we firstly determine the conjugacy classes of G using the coset
Ayoub B.M. Basheer, Jamshid Moori
doaj +1 more source
Maximal subgroups and PST-groups [PDF]
Open Mathematics, 2013 Abstract A subgroup H of a group G is said to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp.
Ballester-Bolinches, Adolfo +3 more
openaire +5 more sources
The maximal subgroups of the classical groups in dimension 13, 14 and 15 [PDF]
, 2015 One might easily argue that the Classification of Finite Simple Groups is one of the most important theorems of group theory. Given that any finite group can be deconstructed into its simple composition factors, it is of great importance to have a ...
Schröder, Anna Katharina
core +2 more sources
TORSION MAXIMAL SUBGROUPS OF GLn(D) [PDF]
Journal of Algebraic SystemsLet D be a division ring over its center F. LetGLn(D)be the general linear group over D. In this article we prove thatifGLn(D)contains a maximal torsion subgroup M then D = F,FpcharF = p > 0 and F is algebraic over its prime subeldwhen-ever one of the ...
Reza Fallah-Moghaddam
doaj +1 more source
Every group is a maximal subgroup of the free idempotent generated semigroup over a band [PDF]
, 2013 Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several
Ruskuc, Nik +3 more
core +1 more source
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
Semi-Extraspecial Groups with an Abelian Subgroup of Maximal Possible Order [PDF]
Advances in Group Theory and Applications, 2018 Let p be a prime. A finite p-group G is defined to be semi-extraspecial if for every maximal subgroup N in Z(G) the quotient G/N is a an extraspecial group. In addition, we say that G is ultraspecial if G is semi-extraspecial and |G : G′| = |G′|^2.
Mark L. Lewis
doaj +1 more source
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 +2 more sources
Maximal functions and subordination for operator groups. [PDF]
, 2002 Let E be a UMD Banach space and L a positive and self-adjoint operator in L^2 of Laplace type such that the imaginary powers L^{-it} form a C_0 group of exponential growth on L^p(E).
Blower, Gordon
core +4 more sources
Maximal Subgroups of a Given Group [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
openaire +2 more sources