On mutually permutable products of finite groups

Adolfo Ballester-Bolinches; Yangming Li; Mari Carmen Pedraza-Aguilera; Ning Su

doi:10.4171/rlm/830

JournalsrlmVol. 29, No. 4pp. 711–719

On mutually permutable products of finite groups

Adolfo Ballester-Bolinches
Guangdong University of Education, Guangzhou, China, and Universitat de València, Burjassot, Spain
Yangming Li
Guangdong Institute of Education, Guangzhou, China
Mari Carmen Pedraza-Aguilera
Universitat Politècnica de València, Spain
Ning Su
Sun Yat-sen University, Guangzhou, China

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Abstract

The main purpose of this paper is to study mutually permutable products $G = A B$ in which the subgroups of prime order $p$ and cyclic of order $4$ (if $p = 2$ ) of the largest normal subgroup of $G$ contained in $A \cap B$ are well situated in $G$ . Our results confirm once again the important role of the intersection of the factors in the structural study of mutually permutable products.

Cite this article

Adolfo Ballester-Bolinches, Yangming Li, Mari Carmen Pedraza-Aguilera, Ning Su, On mutually permutable products of finite groups. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 4, pp. 711–719

DOI 10.4171/RLM/830