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A NEW TYPE OF PRONORMAT SUBGROUPS IN CHEVALLEY GROUPS

A NEW TYPE OF PRONORMAT SUBGROUPS IN CHEVALLEY GROUPS
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摘要 Let L be a simple Lie algebra with irreducible root system. 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 Φl the set of all long roots in Φl Set Gl = <xr (t); f∈EΦl,t∈F>. It is a subgroup of G generated by all the long root subgroups. This paper determines the pronormality of Gl in G when L is not of type G2.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第2期243-248,共6页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China (No.19671079).
关键词 Chevalley groups Root systems Pronormal subgroups 预正规子群 李代数 谢瓦莱群 根系
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