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