A generalization of a Hall theorem-Reference-Cited by-同舟云学术

A generalization of a Hall theorem

Published:2016-03-30 Issue:05 Volume:15 Page:1650085
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

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

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816500857

Reference15 articles.

1. On saturated formations, theta-pairs and completions in finite groups

2. Finite groups with permutable complete Wielandt sets of subgroups

3. X-semipermutable subgroups of finite groups

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