| HOMOMORPHISMS BETWEEN CHEVALLEY GROUPS OF TYPES C_nAND G_2 OVER FINITE FIELDS |
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| 作者姓名： | Zha Jianguo |
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| 摘 要： | ＨＯＭＯＭＯＲＰＨＩＳＭＳＢＥＴＷＥＥＮＣＨＥＶＡＬＬＥＹＧＲＯＵＰＳＯＦＴＹＰＥＳＣｎＡＮＤＧ２ＯＶＥＲＦＩＮＩＴＥＦＩＥＬＤＳＺＨＡＪＩＡＮＧＵＯＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＮｏｖｅｍｂｅｒ２，１９９４．ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐ...
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| 关 键 词： | Chevalley群 同态 有限域 根系 |
| 收稿时间： | 1994/11/2 0:00:00 |
HOMOMORPHISMS BETWEEN CHEVALLEY GROUPS OF TYPES Cn AND G2OVER FINITE FIELDS |
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| Zha Jianguo.HOMOMORPHISMS BETWEEN CHEVALLEY GROUPS OF TYPES C_nAND G_2 OVER FINITE FIELDS[J].Chinese Annals of Mathematics,Series B,1997,18(2):167-172. |
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| Authors: | Zha Jianguo |
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| Affiliation: | DepartmentofAppliedMathematics,TongjiUniversity,Shanghai200092 |
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| 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 $F$. In
this 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 $G_2$, and
the fields $k$ and $K$ are finite fields of characteristic $p$. |
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| Keywords: | Chevalley group Homomorphism Finite field |
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