Pairs of Short Root Subgroups in the Chevalley Group of Type G2

被引：0
|
作者：
V. V. Nesterov
机构：
[1] The Baltic State Technical University,
来源：
Journal of Mathematical Sciences | 2004年 / 120卷 / 4期
关键词：
Chevalley Group; Short Root; Root Subgroup; Simultaneous Conjugation; Short Root Subgroup;
D O I：
10.1023/B:JOTH.0000017893.66315.ba
中图分类号：
学科分类号：
摘要：
The paper is devoted to a description of the pairs of unipotent short root subgroups in the Chevalley group of type G2 over a field of characteristic different from 2. Namely, the subgroups generated by a pair of short root subgroups are described, and the orbits of the Chevalley group, which acts by simultaneous conjugation on such pairs, are classified. Most of the calculations are valid for fields of characteristic 2. Bibliography: 14 titles.
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页码：1630 / 1641
页数：11
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