Finite groups with the same conjugacy class sizes as a finite simple group
For a finite group $H$, let $cs(H)$ denote the set of non-trivial conjugacy class sizes of $H$ and $OC(H)$ be the set of the order components of $H$. In this paper, we show that if $S$ is a finite simple group with the disconnected prime graph and $G$ is a finite group such that $cs(S)=cs(G)$...
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| Format: | Article |
| Language: | English |
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University of Isfahan
2019-03-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://ijgt.ui.ac.ir/article_21236_1a260ed6b265defd6362bf30cf33c9ce.pdf |