On a conjecture by Kov\'acs and Praeger on the minimal degree of a permutation representation

Authors

  • Clara Franchi

Keywords:

permutation representation, finite $p$-group

Abstract

For a finite group $G$, we denote by $\mu(G)$ the minimum degree of a faithful permutation representation of $G$. We prove that if $G$ is a finite $p$-group with an abelian maximal subgroup, then $\mu (G/G')\le \mu (G)$. doi:10.1017/S000497271100267X

Published

2011-10-17

Issue

Vol. 84 No. 3 (2011)

Section

Articles
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