On sub-class sizes of mutually permutable products

Open Mathematics

Yang Yong¹  Li Jinbao² 

[1] Department of Mathematics, Texas State University, 601 University Drive, San Marcos, TX 78666, USA;Key Laboratory of Group and Graph Theories and Applications, Chongqing University of Arts and Sciences, Chongqing402160, China;

关键词: finite groups;    sub-class sizes;    mutually permutable products;    20d10;    20d20;    20d40;    20e45;   

DOI  :  10.1515/math-2021-0030

来源: DOAJ

【 摘 要 】

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 pp-nilpotent or pp-supersolvable are given.

【 授权许可】

Unknown