Results 41 to 50 of about 234 (126)

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  

The pro-supersolvable topology on a free group: deciding denseness

, 2023
Let $F$ be a free group of arbitrary rank and let $H$ be a finitely generated subgroup of $F$. Given a pseudovariety $\mathbf{V}$ of finite groups, i.e.
Tracey, Gareth, Silva, Pedro V., Marion, Claude   +2 more
core  

On the F-abnormal maximal subgroups of finite groups

, 2007
For any saturated formation F of finite groups containing all supersolvable groups, the groups in F are characterized by the F-abnormal maximal ...
Du, Ni, Li, Shirong
core   +2 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

Supersolvable descent for rational points

International audienceWe construct an analogue of the classical descent theory of Colliot-Thélène and Sansuc in which algebraic tori are replaced with finite supersolvable groups.
Harpaz, Yonatan, Wittenberg, Olivier
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  

Supersolvable Frobenius groups with nilpotent centralizers [PDF]

Journal of Pure and Applied Algebra, 2019
Let $FH$ be a supersolvable Frobenius group with kernel $F$ and complement $H$. Suppose that a finite group $G$ admits $FH$ as a group of automorphisms in such a manner that $C_G(F)=1$ and $C_{G}(H)$ is nilpotent of class $c$. We show that $G$ is nilpotent of $(c,\left|FH\right|)$-bounded class.
Caldeira, Jhone, de Melo, Emerson
openaire   +2 more sources

CONSTRUCTION OF TRANSITIVE SUPERSOLVABLE PERMUTATION GROUPS

, 2018
In this paper, we used wreath products of two permutation groups  in constructing transitive supersolvable permutation groups. We verified these groups using some groups theoretical concepts and also validate our work using a standard program; GAP ...
Musa, Sani, Bello, M., Danjuma, Mustapha, Kashim, Raliatu Mohammed   +3 more
core  

Generating fast Fourier transforms of solvable groups

, 2003
This paper presents a new algorithm for constructing a complete list of pairwise inequivalent ordinary irreducible representations of a finite solvable group G.
Clausen, M., M. Müller, M. Clausen, Müller, M.   +3 more
core   +1 more source

ON GENERALISED FC-GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION [PDF]

, 2016
We extend to soluble FC⇤-groups, the class of generalised FC-groups introduced in de Giovanni et al. 16 [‘Groups with restricted conjugacy classes’, Serdica Math. J.
VINCENZI, Giovanni, Vincenzi, G., Esteban Romero, Ramon   +2 more
core   +1 more source