Results 11 to 20 of about 621,667 (283)

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, Beidleman James, Esteban-Romero Ramón, Pérez-Calabuig Vicent   +3 more
doaj   +5 more sources

Avoiding maximal parabolic subgroups of S_k [PDF]

Discrete Mathematics & Theoretical Computer Science, 2000
We find an explicit expression for the generating function of the number of permutations in S_n avoiding a subgroup of S_k generated by all but one simple transpositions.
Toufik Mansour, Alek Vainshtein
doaj   +7 more sources

Finite groups whose all second maximal subgroups are cyclic

Open Mathematics, 2017
In this paper, we give a complete classification of the finite groups G whose second maximal subgroups are ...
Ma Li, Meng Wei, Ma Wanqing
exaly   +2 more sources

Maximal Subgroups of Symmetric Groups [PDF]

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   +3 more sources

Maximal subgroups of finite groups [PDF]

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   +2 more sources

Maximal Subgroups of Direct Products [PDF]

Journal of Algebra, 1997
Plain TeX file, 8 ...
Thévenaz, Jacques
openaire   +3 more sources

$p$-groups with maximal elementary abelian subgroups of rank $2$ [PDF]

, 2010
Let p be an odd prime number and G a finite p-group. We prove that if the rank of G is greater than p, then G has no maximal elementary abelian subgroup of rank 2.
Mazza, Nadia, Glauberman, George, George Glauberman, Nadia Mazza   +3 more
core   +5 more sources

Complete online database of maximal subgroups of subperiodic groups at the Bilbao Crystallographic Server [PDF]

Journal of Applied Crystallography
Gemma de la Flor Martin, Mois Ilia Aroyo   +1 more
exaly   +2 more sources

Connected components of the category of elementary abelian $p$-subgroups. [PDF]

, 2008
We determine the maximal number of conjugacy classes of maximal elementary abelian subgroups of rank $2$ in a finite $p$-group $G$, for an odd prime $p$. Namely, it is $p$ if $G$ has rank at least $3$ and it is $p+1$ if $G$ has rank $2$.
Mazza, Nadia
core   +5 more sources

The index complex of a maximal subalgebra of a Lie algebra. [PDF]

, 2011
Let M be a maximal subalgebra of the Lie algebra L. A subalgebra C of L is said to be a completion for M if C is not contained in M but every proper subalgebra of C that is an ideal of L is contained in M.
Towers, David A.
core   +5 more sources