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doi: 10.4171/rlm/830
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.
mutually permutable subgroups, Saturated formation, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, weakly $s$-supplementationl, permutable subgroups, $\mathcal{F}$-residual, Products of subgroups of abstract finite groups, factorization, Finite nilpotent groups, \(p\)-groups, $p$-supersolvable groups, finite group, Factorisation, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, saturated formation, Sylow permutability, Weakly s-supplementation, Finite group, MATEMATICA APLICADA
mutually permutable subgroups, Saturated formation, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, weakly $s$-supplementationl, permutable subgroups, $\mathcal{F}$-residual, Products of subgroups of abstract finite groups, factorization, Finite nilpotent groups, \(p\)-groups, $p$-supersolvable groups, finite group, Factorisation, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, saturated formation, Sylow permutability, Weakly s-supplementation, Finite group, MATEMATICA APLICADA
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