On the permutability of Sylow subgroups with derived subgroups of B-subgroups-Reference-Cited by-同舟云学术

On the permutability of Sylow subgroups with derived subgroups of B-subgroups

Published:2019-04-12 Issue:1 Volume: Page:12-17
ISSN:2617-3956
Container-title:Journal of the Belarusian State University. Mathematics and Informatics
language:ru
Short-container-title:

Author:

Zubei Ekaterina V.¹

Affiliation:

1. Francisk Skorina Gomel State University

Abstract

A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2-closed) B-subgroups of even order and the solvability of the group in which the derived subgroups of 2-closed and 2-nilpotent B-subgroups of even order are permutable.

Publisher

Belarusian State University

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Statistics and Probability,Algebra and Number Theory

Reference21 articles.

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