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HOMOMORPHISMS BETWEEN CHEVALLEY GROUPS OF TYPES C_nAND G_2 OVER FINITE FIELDS
引用本文:Zha Jianguo. HOMOMORPHISMS BETWEEN CHEVALLEY GROUPS OF TYPES C_nAND G_2 OVER FINITE FIELDS[J]. 数学年刊B辑(英文版), 1997, 18(2): 167-172
作者姓名:Zha Jianguo
摘    要:HOMOMORPHISMSBETWEENCHEVALLEYGROUPSOFTYPESCnANDG2OVERFINITEFIELDSZHAJIANGUOManuscriptreceivedNovember2,1994.DepartmentofApp...

关 键 词:Chevalley群  同态  有限域  根系
收稿时间:1994-11-02

HOMOMORPHISMS BETWEEN CHEVALLEY GROUPS OF TYPES Cn AND G2OVER FINITE FIELDS
Zha Jianguo. HOMOMORPHISMS BETWEEN CHEVALLEY GROUPS OF TYPES Cn AND G2OVER FINITE FIELDS[J]. Chinese Annals of Mathematics,Series B, 1997, 18(2): 167-172
Authors:Zha Jianguo
Affiliation:DepartmentofAppliedMathematics,TongjiUniversity,Shanghai200092
Abstract:It is known that there exists an isogeny sort of Chevalley groups $G(Sigma, F)$associated to any indecomposable root system $Sigma$ and any field $F$. Inthis paper the author determines all nontrivial homomorphisms from $G(Sigma, k)$to $G(Sigma, K)$ when the root system $Sigma$ is of type $C_n$ or $G_2$, andthe fields $k$ and $K$ are finite fields of characteristic $p$.
Keywords:Chevalley group   Homomorphism   Finite field
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