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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2000 Volume 272, Pages 273–285 (Mi znsl1376)

This article is cited in 6 papers

The arrangement of the long and short root subgroups in the Chevalley group of type $G_2$

V. V. Nesterov

Baltic State Technical University

Abstract: We describe subgroups generated by a long and short root subgroups in a Chevalley group of type $G_2$ and classify orbits of the group acting on such pairs by simultaneous conjugation.

UDC: 512.542.6

Received: 20.06.2000


 English version:
Journal of Mathematical Sciences (New York), 2003, 116:1, 3035–3041

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