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L. S. Kazarin, A. Martínez-Pastor, M. D. Pérez-Ramos.
Finite trifactorised groups and $\pi$-decomposability
Bull. Austral. Math. Soc., 97 (2):218-228, 2018
Abstract
We derive some structural properties of a trifactorised finite group G = AB = AC = BC, where A, B, and C are subgroups of G, provided that A = Aπ × Aπ’ and B = Bπ × Bπ’ are π-decomposable groups, for a set of primes π.
2010 Mathematics Subject Classification: primary 20D40; secondary 20D20
Keywords: finite group, product of subgroups, π-decomposable group, π-structure.