Results 1 to 10 of about 58,853 (262)

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   +6 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
doaj   +2 more sources

Finite groups whose maximal subgroups of even order are MSN-groups

Open Mathematics, 2022
A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal ...
Wang Wanlin, Guo Pengfei
doaj   +2 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
exaly   +2 more sources

Maximal abelian subgroups of the finite symmetric group [PDF]

International Journal of Group Theory, 2021
‎Let $G$ be a group‎. ‎For an element $a\in G$‎, ‎denote by $\cs(a)$ the second centralizer of~$a$ in~$G$‎, ‎which is the set of all elements $b\in G$ such that $bx=xb$ for every $x\in G$ that commutes with $a$‎.
Janusz Konieczny
doaj   +1 more source

Irredundant families of maximal subgroups of finite solvable groups [PDF]

International Journal of Group Theory, 2023
Let $\mathcal{M}$ be a family of maximal subgroups of a group $G.$ We say that $\mathcal{M}$ is irredundant if its intersection is not equal to the intersection of any proper subfamily of $\mathcal{M}$. The maximal dimension of $G$ is the maximal size of
Agnieszka Stocka
doaj   +1 more source

The maximal subgroups of [PDF]

LMS Journal of Computation and Mathematics, 2015
Here we determine up to conjugacy all the maximal subgroups of the finite exceptional group of Lie-type$E_{7}(2)$.Supplementary materials are available with this article.
John Ballantyne, Chris J. Bates, Peter Rowley   +2 more
openaire   +1 more source

Locally Maximal Subgroups and the Normalizer Condition in p-Groups [PDF]

Advances in Group Theory and Applications, 2023
This work is a continuation of the investigation of a locally nilpotent p-group satisfying the normalizer condition by imposing certain conditions on locally maximal subgroups, where p ≠ 2.
A.O. Asar
doaj   +1 more source

The reduction theorem for relatively maximal subgroups

Bulletin of Mathematical Sciences, 2022
Let [Formula: see text] be a class of finite groups closed under taking subgroups, homomorphic images and extensions. It is known that if [Formula: see text] is a normal subgroup of a finite group [Formula: see text] then the image of an [Formula: see ...
Wenbin Guo, Danila O. Revin, Evgeny P. Vdovin   +2 more
doaj   +1 more source