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...
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University of Isfahan
2012-09-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=763&_ob=84125d4a5e2e7ac9630a1081299e34f0&fileName=full_text.pdf |
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doaj-d379c41122424beb8f731bfff87c2b602020-11-24T20:40:26ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692012-09-011319On Huppert's conjecture for F_4(2)Hung P Tong-VietThomas P WakefieldLet $G$ 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 $rm{F_4(2)}.$http://www.theoryofgroups.ir/?_action=showPDF&article=763&_ob=84125d4a5e2e7ac9630a1081299e34f0&fileName=full_text.pdfCharacter degreessimple groupsHuppert's Conjecture |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hung P Tong-Viet Thomas P Wakefield |
| spellingShingle |
Hung P Tong-Viet Thomas P Wakefield On Huppert's conjecture for F_4(2) International Journal of Group Theory Character degrees simple groups Huppert's Conjecture |
| author_facet |
Hung P Tong-Viet Thomas P Wakefield |
| author_sort |
Hung P Tong-Viet |
| title |
On Huppert's conjecture for F_4(2) |
| title_short |
On Huppert's conjecture for F_4(2) |
| title_full |
On Huppert's conjecture for F_4(2) |
| title_fullStr |
On Huppert's conjecture for F_4(2) |
| title_full_unstemmed |
On Huppert's conjecture for F_4(2) |
| title_sort |
on huppert's conjecture for f_4(2) |
| publisher |
University of Isfahan |
| series |
International Journal of Group Theory |
| issn |
2251-7650 2251-7669 |
| publishDate |
2012-09-01 |
| description |
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 $rm{F_4(2)}.$ |
| topic |
Character degrees simple groups Huppert's Conjecture |
| url |
http://www.theoryofgroups.ir/?_action=showPDF&article=763&_ob=84125d4a5e2e7ac9630a1081299e34f0&fileName=full_text.pdf |
| work_keys_str_mv |
AT hungptongviet onhuppertsconjectureforf42 AT thomaspwakefield onhuppertsconjectureforf42 |
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1716826994463735808 |