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Journal of Siberian Federal University. Mathematics & Physics, 2011, Volume 4, Issue 4, Pages 527–535
(Mi jsfu211)
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This article is cited in 9 scientific papers (total in 9 papers)
Factorization of carpet subgroups of the Chevalley groups over commutative rings
Yakov N. Nuzhin Institute of Basic Training, Siberian Federal University, Krasnoyarsk, Russia
Abstract:
A concept of derivative carpet is introduced and it is proved that a carpet subgroup of the Chevalley group over commutative ring is a product of the derivative carpet subgroup and carpet subgroups of rank 1.
Keywords:
Chevalley groups, commutative ring, carpet of additive subgroups, factorization.
Received: 18.05.2011 Received in revised form: 25.06.2011 Accepted: 10.07.2011
Citation:
Yakov N. Nuzhin, “Factorization of carpet subgroups of the Chevalley groups over commutative rings”, J. Sib. Fed. Univ. Math. Phys., 4:4 (2011), 527–535
Linking options:
https://www.mathnet.ru/eng/jsfu211 https://www.mathnet.ru/eng/jsfu/v4/i4/p527
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