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Winter 2000 Some simple groups which are determined by the set of their character degrees I
Bertram Huppert
Illinois J. Math. 44(4): 828-842 (Winter 2000). DOI: 10.1215/ijm/1255984694

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 $SL(2,2^{f})$.

Citation

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Bertram Huppert. "Some simple groups which are determined by the set of their character degrees I." Illinois J. Math. 44 (4) 828 - 842, Winter 2000. https://doi.org/10.1215/ijm/1255984694

Information

Published: Winter 2000
First available in Project Euclid: 19 October 2009

zbMATH: 0972.20006
MathSciNet: MR1804317
Digital Object Identifier: 10.1215/ijm/1255984694

Subjects:
Primary: 20C15
Secondary: 20D08 , 20D60

Rights: Copyright © 2000 University of Illinois at Urbana-Champaign

Vol.44 • No. 4 • Winter 2000
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