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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 119–129
(Mi semr475)
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Mathematical logic, algebra and number theory
On stability of unipotent automorphism groups of a vector space over a division ring
A. A. Korobov
Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
For a wide class of vector spaces over skew-fields we prove that a group of unipotent automorphisms is conjugate to a group of triangular matrices.
Keywords:
skew linear groups, unipotent subgroups, division ring, stability subgroup.
Received June 20, 2013, published February 13, 2014
Citation:
A. A. Korobov, “On stability of unipotent automorphism groups of a vector space over a division ring”, Sib. Èlektron. Mat. Izv., 11 (2014), 119–129
Linking options:
https://www.mathnet.ru/eng/semr475 https://www.mathnet.ru/eng/semr/v11/p119
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| Abstract page: | 280 | | Full-text PDF : | 64 | | References: | 57 |
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