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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 522, Pages 84–100 (Mi znsl7337)  
On the structure of some unitary nil $K_1$-groups

V. I. Kopeiko

Kalmyk State University named after B. B. Gorodovikov
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Abstract: Several Nil-subgroups of the Bass' nilpotent unitary $K_1$-group of a unitary ring are introduced and some properties of these Nil-groups are proved. These properties are unitary analog of the well-known properties of the Bass' nilpotent $K_1$-group of a ring in algebraic $K$-theory.
Key words and phrases: unitary ring, unitary group, unitary $K_1$-functor, unitary Bass' nilpotent $K_1$-group, nipotent unitary matrices.
Received: 07.11.2022
Document Type: Article
UDC: 512.5
Language: Russian
Citation: V. I. Kopeiko, “On the structure of some unitary nil $K_1$-groups”, Problems in the theory of representations of algebras and groups. Part 39, Zap. Nauchn. Sem. POMI, 522, POMI, St. Petersburg, 2023, 84–100
Citation in format AMSBIB
\Bibitem{Kop23}
\by V.~I.~Kopeiko
\paper On the structure of some unitary nil $K_1$-groups
\inbook Problems in the theory of representations of algebras and groups. Part~39
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 522
\pages 84--100
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7337}
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