Characterizations of some classes of finite σ-soluble PσT-groups

H Li, AM Liu, IN Safonova, AN Skiba - Communications in Algebra, 2024 - Taylor & Francis
Let X be a class of groups. Suppose that with each group G∈ X we associate some system
of its subgroups τ (G). Then τ is said to be a subgroup functor (in the sense of Skiba) on X if …

On One Open Question of the Theory of -Properties of a Finite Group

AM Liu, Z Wang, VG Safonov, AN Skiba - Communications in Mathematics …, 2024 - Springer
Let σ={σ i∣ i∈ I} be some partition of the set of all primes and G a finite group. A subgroup A
of G is σ-permutable in G provided G is σ-full; that is, G has a Hall σ i-subgroup for all i∈ I …

Finite groups in which generalized normality is a transitive relation

IN Safonova, AN Skiba - arXiv preprint arXiv:2302.13250, 2023 - arxiv.org
arXiv:2302.13250v1 [math.GR] 26 Feb 2023 Page 1 arXiv:2302.13250v1 [math.GR] 26 Feb
2023 Finite groups in which generalized normality is a transitive relation∗ Inna N. Safonova …

On separability of the lattice of τ-closed n-multiply σ-local formations

IN Safonova - Communications in Algebra, 2024 - Taylor & Francis
All groups under consideration are finite. Let σ={σ i| i∈ I} be some partition of the set of all
primes P, G be a group, F be a class of groups, σ (G)={σ i| σ i∩ π (G)≠∅}, and σ (F)=∪ G∈ …

Finite groups with modular 𝜎-subnormal subgroups

AM Liu, M Chen, IN Safonova, AN Skiba - Journal of Group Theory, 2024 - degruyter.com
Finite groups with modular 𝜎-subnormal subgroups Skip to content Should you have
institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD …

Finite Groups with Given Systems of Generalized Subnormal and Generalized Sylow Permutable Subgroups.

W Guo, AM Liu, VG Safonov… - Southeast Asian Bulletin …, 2024 - search.ebscohost.com
Throughout this paper, all groups are finite and G always denotes a finite group; L (G) is the
lattice of all subgroups of G; σ={σ< sub> ι| i∈ I} is some partition of the set of all primes. A …

A generalization of an Agrawal theorem on soluble PST-groups

W Zhou, Y Nanying, GS Vasily - Communications in Algebra, 2024 - Taylor & Francis
Let σ={σ i⏧ i∈ I} be some partition of the set of all prime numbers and G a finite group. A
subgroup A of G is said to be σ-permutable in G if A permutes with all Hall σi-subgroups H …

О некоторых классах конечных σ-разрешимых PσT-групп

ИН Сафонова, АН Скиба - … Национальной академии наук …, 2024 - doklady.belnauka.by
Аннотация Пусть X–класс групп. Предположим, что каждой группе G∈ X сопоставлена
некоторая система ее подгрупп τ (G). Тогда говорят, что τ–подгрупповой функтор на, X …

[PDF][PDF] ON SOME CLASSES OF FINITE σ-SOLUBLE PσT-GROUPS

IN Safonova, AN Skiba21 - Doklady of the National Academy of …, 2023 - core.ac.uk
Let X be a class of groups. Suppose that with each group G∈ X we associate some system
of its subgroups (). G τ Then τ is said to be a subgroup functor on X if the following conditions …