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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1982 Volume 116, Pages 20–43 (Mi znsl1748)

This article is cited in 12 papers

Parabolic subgroups of Chevalley groups over a commutative ring

N. A. Vavilov


Abstract: This is a survey of results describing the parabolic subgroups of Chevalley groups over rings of various types. For Chevalley groups of classical types over an arbitrary commutative ring, a description of parabolic subgroups is obtained which may be considered definitive. Some errors in the results of V. M. Levchuk in Mat. Zametki, Volume 31, No. 4 (1982) are pointed out.

UDC: 513.6, 519.46


 English version:
Journal of Soviet Mathematics, 1984, 26:3, 1848–1860

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© Steklov Math. Inst. of RAS, 2024