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arXiv · 1511.04129

On groups with the same character degrees as almost simple groups with socle the Mathieu groups

Seyed Hassan Alavi·Ashraf Daneshkhah·Ali Jafari
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Abstract

Let $G$ be a finite group and $cd(G)$ denote the set of complex irreducible character degrees of $G$. In this paper, we prove that if $G$ is a finite group and $H$ is an almost simple group whose socle is Mathieu group such that $cd(G) =cd(H)$, then there exists an Abelian subgroup $A$ of $G$ such that $G/A$ is isomorphic to $H$. This study is heading towards the study of an extension of Huppert's conjecture (2000) for almost simple groups.

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Seyed Hassan Alavi, Ashraf Daneshkhah, Ali Jafari. 2015-11-12. On groups with the same character degrees as almost simple groups with socle the Mathieu groups. https://arxiv.org/abs/1511.04129

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