Z Chi, AN Skiba - Bulletin of the Australian Mathematical Society, 2020 - cambridge.org
Let F be a class of finite groups and G a finite group. Let LF (G) be the set of all subgroups A of G with AG/AG∈ F. A chief factor H/K of G is F-central in G if (H/K)(G/CG (H/K))∈ F. We …
JC Beidleman, MF Ragland - Central European Journal of Mathematics, 2011 - Springer
The purpose of this paper is to study the subgroup embedding properties of S- semipermutability, semipermutability, and seminormality. Here we say H is S …
A critical group for a class of groups $\mathfrak {X} $ is a minimal non-$\mathfrak {X} $- group. The critical groups are determined for various classes of finite groups. As a …
KA Al-Sharo, JC Beidleman, H Heineken, MF Ragland - 2010 - degruyter.com
Let G be a finite group and let H be a subgroup of G. H is said to be semipermutable in G if H permutes with every subgroup K of G with (| H|,| K|)= 1. A number of new characterizations of …
Finite groups G= AB factorized by two subgroups A and B such that every subgroup of A permutes with every subgroup of B are studied in this paper. The behaviour of such products …
We develop several local approaches for the three classes of finite groups: T-groups (normality is a transitive relation) and PT-groups (permutability is a transitive relation) and …
VO Lukyanenko, AN Skiba - Rendiconti del Seminario Matematico …, 2010 - numdam.org
Finite Groups in which t-quasinormality is a Transitive Relation Page 1 REND. SEM. MAT. UNIV. PADOVA, Vol. 124 (2010) Finite Groups in which t-quasinormality is a Transitive …
L Wang, Y Li, Y Wang - Int. J. Algebra, 2008 - m-hikari.com
Let G be a finite group. A subgroup H of G is called semipermutable (or S-semipermutable) in G if H permutes with every subgroup K (or every Sylow p-subgroup) of G with (| K|,| H|)= 1 …