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The main purpose of this paper is to study mutually permutable products in which the subgroups of prime order and cyclic of order (if ) of the largest normal subgroup of contained in are well situated in . Our results confirm once again the important role of the intersection of the factors in the structural study of mutually permutable products.
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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. 711–719DOI 10.4171/RLM/830