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

Authors :
V. V. Nesterov
Source :
Journal of Mathematical Sciences. 120:1630-1641
Publication Year :
2004
Publisher :
Springer Science and Business Media LLC, 2004.

Abstract

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.

Details

ISSN :
10723374
Volume :
120
Database :
OpenAIRE
Journal :
Journal of Mathematical Sciences
Accession number :
edsair.doi...........e2779e14790911d660902d010c475d9e
Full Text :
https://doi.org/10.1023/b:joth.0000017893.66315.ba