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arXiv:1812.09391 [math.GR]AbstractReferencesReviewsResources

Products of groups and class sizes of $π$-elements

M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor

Published 2018-12-21Version 1

We provide structural criteria for some finite factorised groups $G = AB$ when the conjugacy class sizes in $G$ of certain $\pi$-elements in $A\cup B$ are either $\pi$-numbers or $\pi'$-numbers, for a set of primes $\pi$. In particular, we extend for products of groups some earlier results.

Categories: math.GR
Subjects: 20D10, 20D40, 20E45, 20D20
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