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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The main purpose of this paper is to study mutually permutable products G=ABG = AB in which the subgroups of prime order pp and cyclic of order 44 (if p=2p = 2) of the largest normal subgroup of GG contained in ABA\cap B are well situated in GG. 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