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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 3, Pages 690–701
(Mi smj2230)
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This article is cited in 2 scientific papers (total in 2 papers)
Periodic automorphisms of the free Lie algebra of rank 3
M. A. Shevelin Omsk State University, Omsk
Abstract:
We prove that each automorphism of finite order of the free Lie algebra of rank 3 over an algebraically closed field is conjugate to a linear automorphism if the field characteristic fails to divide the automorphism order.
Keywords:
free Lie algebra, automorphism group.
Received: 15.06.2010 Revised: 03.12.2010
Citation:
M. A. Shevelin, “Periodic automorphisms of the free Lie algebra of rank 3”, Sibirsk. Mat. Zh., 52:3 (2011), 690–701; Siberian Math. J., 52:3 (2011), 544–553
Linking options:
https://www.mathnet.ru/eng/smj2230 https://www.mathnet.ru/eng/smj/v52/i3/p690
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Abstract page: | 335 | Full-text PDF : | 98 | References: | 61 | First page: | 8 |
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