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M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor.
Products of groups and class sizes of π-elements.
Mediterr. J. Math., 17(1):Paper No. 15, 20, 2020.
Abstract
We provide structural criteria for some finite factorised groups G=AB when the conjugacy class sizes in G of certain π-elements in A ∪ B are either π-numbers or π′-numbers, for a set of primes π. In particular, we extend for products of groups some earlier results.
2020 Mathematics Subject Classification: 20D10, 20D40, 20E45, 20D20
Keywords: finite group; products of groups; conjugacy classes, π-structure