Square-free class sizes in products of groups

JOURNAL OF ALGEBRA

卷:491

Article

Felipe, M. J.¹  Martinez-Pastor, A.¹  Ortiz-Sotomayor, V. M.¹ 

[1] Univ Politecn Valencia, IUMPA, Camino de Vera S-N, E-46022 Valencia, Spain

关键词: Finite groups;    Soluble groups;    Products of subgroups;    Conjugacy classes;   

DOI  :  10.1016/j.jalgebra.2017.08.007

来源: Elsevier

【 摘 要 】

We obtain some structural properties of a factorised group G = AB, given that the conjugacy class sizes of certain elements in A boolean OR B are not divisible by p(2), for some prime p. The case when G = AB is a mutually permutable product is especially considered. (c) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free