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| A New Type of Pronormal Subgroups in Chevalley Groups |
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Citation： |
WANG Dengyin.A New Type of Pronormal Subgroups in Chevalley Groups[J].Chinese Annals of Mathematics B,2001,22(2):243~248 |
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Net amount： 697 |
Authors： |
WANG Dengyin; |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.19671079). |
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| Abstract： |
Let $L$ be a simple Lie algebra with irreducible root system $\Phi$ having roots of different length, $F$ be a field of characteristic different from 2, $G=L(F)$ be a Chevalley group of type $L$ over $F$. Denote by $\Phi^l$ the set of all long roots in $\Phi$. Set $G^l=$. It is a subgroup of $G$ generated by the long root subgroups. This paper determines the pronormality of $G^l$ in $G$ when $L$ is not of type $G_2$. |
Keywords： |
Chevalley groups, Root systems, Pronormal subgroups |
Classification： |
20G15, 20G35, 20H20, 20E15, 20E28 |
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