Products of groups and class sizes of \(\pi\)-elements

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 earlie...

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Bibliographic Details
Published in:arXiv.org 2018-12
Main Authors: Felipe, M J, Martínez-Pastor, A, Ortiz-Sotomayor, V M
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:2331-8422