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Adolfo Ballester-Bolinches, Yangming Li, Mari Carmen Pedraza-Aguilera.
On mutually permutable products of finite groups
Rend. Lincei. Mat. Appl., 29 (4):711-719, 2018
The main purpose of this paper is to study mutually permutable products G=AB 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.
2010 Mathematics Subject Classification: 20D10, 20D20
Keywords: Finite group, Sylow permutability, weakly s-supplementation, factorisation, saturated formation.