On sub-class sizes of mutually permutable products-Reference-Cited by-同舟云学术

On sub-class sizes of mutually permutable products

Published:2021-01-01 Issue:1 Volume:19 Page:238-243
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Li Jinbao¹²³,Yang Yong⁴

Affiliation:

1. Key Laboratory of Group and Graph Theories and Applications, Chongqing University of Arts and Sciences , Chongqing 402160 , China

2. School of Mathematics and Statistics, Southwest University , Chongqing 400715 , China

3. Chongqing Academy of Metrology and Quality Inspection , Chongqing 401121 , China

4. Department of Mathematics, Texas State University, 601 University Drive , San Marcos , TX 78666 , USA

Abstract

Abstract In this paper, we investigate the influence of sub-class sizes on a mutually permutable factorized group in which the sub-class sizes of some elements of its factors have certain quantitative properties. Some criteria for a group to be

-nilpotent or

-supersolvable are given.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0030/pdf

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