Some simple groups which are determined by the set of their character degrees I

Bertram Huppert

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Source: Crossref

Published: Dec 1, 2000

DOI: 10.1215/ijm/1255984694

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Source abstract

The following conjecture is studied. Let $G$ be a simple nonabelian group. If $H$ is any group which has the same set of character degrees as $G$ , then $H \cong G \times A$ , where $A$ is abelian. In the present paper this is proved if $G$ is a Suzuki group on some $SL(2,2^{f})$ .

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Some simple groups which are determined by the set of their character degrees I — Mathematical Frontier Network