, Volume 120, Issue 4, pp 1630-1641

Pairs of Short Root Subgroups in the Chevalley Group of Type G 2

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Abstract

The paper is devoted to a description of the pairs of unipotent short root subgroups in the Chevalley group of type G 2 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.