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| HOMOMORPHISMS BETWEEN CHEVALLEY GROUPS OF TYPES Cn AND G2OVER FINITE FIELDS |
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Citation： |
Zha Jianguo.HOMOMORPHISMS BETWEEN CHEVALLEY GROUPS OF TYPES Cn AND G2OVER FINITE FIELDS[J].Chinese Annals of Mathematics B,1997,18(2):167~172 |
| Page view： 1041
Net amount： 854 |
Authors： |
Zha Jianguo; |
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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 $p$. |
Keywords： |
Chevalley group, Homomorphism, Finite field |
Classification： |
12E20 |
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