, Volume 116, Issue 1, pp 3035-3041

The Arrangement of Long and Short Root Subgroups in a Chevalley Group of Type G2

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Abstract

The subgroups generated by a long and a short root subgroup in a Chevalley group of type G2 are described, and the orbits of the group acting on such pairs by simultaneous conjugation are classified. Bibliography: 18 titles.