On Huppert's conjecture for F_4(2)
Let $G$ be a finite group and let $text{cd}(G)$ be the set of all complex irreducible character degrees of $G$. B. Huppert conjectured that if $H$ is a finite nonabelian simple group such that $text{cd}(G) =text{cd}(H)$, then $Gcong H times A$, where $A$ is an abelian group. In this paper, we verify...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Isfahan
2012-09-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=763&_ob=84125d4a5e2e7ac9630a1081299e34f0&fileName=full_text.pdf |
| Summary: | Let $G$ be a finite group and let $text{cd}(G)$ be the set of all complex irreducible character degrees of $G$. B. Huppert conjectured that if $H$ is a finite nonabelian simple group such that $text{cd}(G) =text{cd}(H)$, then $Gcong H times A$, where $A$ is an abelian group. In this paper, we verify the conjecture for $rm{F_4(2)}.$ |
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| ISSN: | 2251-7650 2251-7669 |