M. J. Felipe, A. Martínez-Pastor, V. M. Ortiz-Sotomayor
Published 2017-03-24Version 1
We obtain some structural properties of a factorised group $G = AB$, given that the conjugacy class sizes of certain elements in $A\cup B$ are not divisible by $p^2$, for some prime $p$. The case when $G = AB$ is a mutually permutable product is especially considered.
Products of groups and class sizes of $π$-elements
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The influence of conjugacy class sizes on the structure of finite groups: a survey
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