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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 365, Pages 151–171 (Mi znsl3470)

Abnormal subgroups of classical groups corresponding to closed sets of roots

N. V. Gravin, D. Yu. Shiryaev

Saint-Petersburg State University

Abstract: In this paper we classify abnornal subgroups in classical Chevalley groups, containing split maximal torus. Classification problem is reduced to a combinatorial problem in terms of root systems, which is solved with use of weight graphs. Bibl. – 5 titles.

UDC: 513.6

Received: 01.12.2008


 English version:
Journal of Mathematical Sciences (New York), 2009, 161:4, 542–552

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