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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.

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  1. The Baltic State Technical University, St.Petersburg

    V. V. Nesterov

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  1. V. V. Nesterov
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Nesterov, V.V. The Arrangement of Long and Short Root Subgroups in a Chevalley Group of Type G2 . Journal of Mathematical Sciences 116, 3035–3041 (2003). https://doi.org/10.1023/A:1023419230216

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