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- W2953027418 abstract "Let $G$ be a finite group with derived subgroup of rank $r$. We prove that $gzzleq |G'|^{2r}$. Motivated by the results of I. M. Isaacs in cite{isa} we show that if $G$ is capable then $gzleq |G'|^{4r}$. This answers a question of L. Pyber. We prove that if $G$ is a capable $p$-group then the rank of $G/mathbf{Z}(G)$ is bounded above in terms of the rank of $G'$." @default.
- W2953027418 created "2019-06-27" @default.
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- W2953027418 date "2007-06-22" @default.
- W2953027418 modified "2023-09-27" @default.
- W2953027418 title "On finite groups whose derived subgroup has bounded rank" @default.
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