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Sibirskii Matematicheskii Zhurnal, 2002, Volume 43, Number 5, Pages 1142–1148
(Mi smj1356)
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This article is cited in 2 scientific papers (total in 2 papers)
On the group of reduced identities of relatively free solvable groups
E. I. Timoshenko Novosibirsk State University of Architecture and Civil Engineering
Abstract:
We prove that the groups of reduced identities of a free solvable group and a free metabelian group of a given nilpotency class are trivial whenever these groups are finitely generated.
Keywords:
algebraic geometry over a group, group of reduced identities.
Received: 26.02.2002
Citation:
E. I. Timoshenko, “On the group of reduced identities of relatively free solvable groups”, Sibirsk. Mat. Zh., 43:5 (2002), 1142–1148; Siberian Math. J., 43:5 (2002), 920–925
Linking options:
https://www.mathnet.ru/eng/smj1356 https://www.mathnet.ru/eng/smj/v43/i5/p1142
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