A generalization of a Hall theorem

Author:

Skiba Alexander N.1

Affiliation:

1. Department of Mathematics, Francisk Skorina Gomel State University, Gomel 246019, Belarus

Abstract

Let [Formula: see text] be some partition of the set [Formula: see text] of all primes, that is, [Formula: see text] and [Formula: see text] for all [Formula: see text]. We say that a finite group [Formula: see text] is [Formula: see text]-soluble if every chief factor [Formula: see text] of [Formula: see text] is a [Formula: see text]-group for some [Formula: see text]. We give some characterizations of finite [Formula: see text]-soluble groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Cited by 36 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On some classes of finite σ-soluble <i>PσT</i>-groups;Doklady of the National Academy of Sciences of Belarus;2024-01-06

2. A Robinson description of finite PσT-groups;Journal of Algebra;2023-10

3. On Generalized σ-Subnormal Subgroups of Finite Groups;ADV GROUP THEOR APPL;2023

4. Characterizations of some classes of finite σ -soluble PσT -groups;Communications in Algebra;2023-07-27

5. On some aspects of the Kegel–Wielandt $$\sigma $$-problem;Ricerche di Matematica;2023-07-10

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