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Parabolic subgroups of Chevalley groups over a commutative ring

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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.

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Authors
  1. N. A. Vavilov
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 116, pp. 20–43, 1982.

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Vavilov, N.A. Parabolic subgroups of Chevalley groups over a commutative ring. J Math Sci 26, 1848–1860 (1984). https://doi.org/10.1007/BF01670569

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