Results 41 to 50 of about 5,389,809 (116)

$G$-permutable Subgroups in $\operatorname{PSL}_2(q)$ and Hereditarily $G$-permutable Subgroups in $\operatorname{PSU}_3(q)$

Известия Иркутского государственного университета: Серия "Математика"
The concept of $X$-permutable subgroup, introduced by A. N. Skiba, generalizes the classical concept of a permutable subgroup. Many classes of finite groups have been characterized in terms of $X$-permutable subgroups.
A. A. Galt, V. N. Tyutyanov
doaj   +1 more source

Finite group with some c#-normal and S-quasinormally embedded subgroups

Open Mathematics
Let pp be a prime that divides the order of a finite group GG, and let PP be a Sylow pp-subgroup of GG. Assume that dd is the smallest number of generators of PP and define ℳd(P)={P1,P2,…,Pd}{{\mathcal{ {\mathcal M} }}}_{d}\left(P)=\left\{{P}_{1},{P}_{2},
Li Ning, Jiang Jing, Liu Jianjun
doaj   +1 more source

Minimal non-supersolvable Lie algebras

, 1985
Three classes of finite-dimensional Lie algebras are studied here: those in which every proper subalgebra is supersolvable, those for which every proper homomorphic image is supersolvable and those which satisfy both ...
Towers, David
core   +4 more sources

Coprime actions with supersolvable fixed-point groups

, 2018
Let A be an elementary abelian r-group acting on a finite r ′
Hangyang Meng, Xiuyun Guo
core   +1 more source

SR-groups of Order 2ⁿp^m with Dihedral Sylow 2-subgroup

Моделирование и анализ информационных систем, 2007
The structure of SR-groups with dihedral Sylow 2-subgroup modulo Frattini subgroup is described. It is proved that if a group О is a non-supersolvable SR-group of order 2npm with dihedral Sylow 2-subgroup, p is Mersenne prime.
V. V. Yanishevskiy
doaj  

Converse Lagrange theorem orders and supersolvable orders [PDF]

, 2021
For finite groups, we investigate both converse Lagrange theorem (CLT) orders and supersolvable (SS) orders, and see that the latter form a proper subset of the former.
Manning, Joseph, MacHale, Desmond
core   +1 more source

Computing irreducible representations of supersolvable groups

, 1994
Recently, it has been shown that the ordinary irreducible representations of a supersolvable group G of order n given by a power-commutator presentation can be constructed in time O ( n 2
Ulrich Baum, Michael Clausen
core   +1 more source

A generalization of semiconductor supersolvable lattices [PDF]

, 1995
Stanley (Algebra Universalis 2, 1972, 197–217) introduced the notion of a supersolvable lattice, L, in part to combinatorially explain the factorization of its characteristic polynomial over the integers when L is also semimodular. He did this by showing
Bennett, Curtis, Sagan, Bruce E
core   +1 more source

On Lie algebras all of whose minimal subalgebras are lower modular. [PDF]

, 2004
The main purpose of this paper is to study Lie algebras L such that if a subalgebra U of L has a maximal subalgebra of dimension one then every maximal subalgebra of U has dimension one. Such an L is called lm(0)-algebra.
Kevin Bowman, Bowman, Kevin, Vicente R. Varea, Varea, Vicente R., Towers, David A., David A. Towers   +5 more
core   +3 more sources

Indices of non-supersolvable maximal subgroups in finite groups

Two classic results, due to K. Doerk and P. Hall respectively, establish the solvability of those finite groups all of whose maximal subgroups are supersolvable, and the solvability of finite groups in which all maximal subgroups have prime or squared ...
Beltrán, Antonio, shao, Changguo
core   +1 more source