Results 21 to 28 of about 30 (28)

A note on influence of subgroup restrictions in finite group structure

International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 721-724, 1989., 1988
The structure of a finite group under specific restrictions respectively on its maximal, minimal and prime power subgroups has been investigated in this paper.
R. Khazal, N. P. Mukherjee
wiley   +1 more source

On finite d$d$‐maximal groups

Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 1054-1070, March 2024.
Abstract Let d$d$ be a positive integer. A finite group is called d$d$‐maximal if it can be generated by precisely d$d$ elements, whereas its proper subgroups have smaller generating sets. For d∈{1,2}$d\in \lbrace 1,2\rbrace$, the d$d$‐maximal groups have been classified up to isomorphism and only partial results have been proved for larger d$d$.
Andrea Lucchini, Luca Sabatini, Mima Stanojkovski   +2 more
wiley   +1 more source

Inductive and divisional posets

Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract We call a poset factorable if its characteristic polynomial has all positive integer roots. Inspired by inductive and divisional freeness of a central hyperplane arrangement, we introduce and study the notion of inductive posets and their superclass of divisional posets.
Roberto Pagaria, Maddalena Pismataro, Tan Nhat Tran, Lorenzo Vecchi   +3 more
wiley   +1 more source

$G$-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

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  

ON THE SUPERSOLVABILITY OF BICYCLIC GROUPS. [PDF]

Proc Natl Acad Sci U S A, 1961
Douglas J.
europepmc   +1 more source

THE LOCAL STRUCTURE OF THE ARTIN ROOT NUMBER. [PDF]

Proc Natl Acad Sci U S A, 1955
Dwork B.
europepmc   +1 more source