Square-free class sizes in products of groups
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.
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| creator | Felipe, M J Martínez-Pastor, A Ortiz-Sotomayor, V M |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.1703.08363 |
| format | Article |
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| subjects | Mathematics - Group Theory |
| title | Square-free class sizes in products of groups |
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