Geodesic
On the structure of some unitary nil $K_1$-groups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 39, Tome 522 (2023), pp. 84-100 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {On the structure of some unitary nil $K_1$-groups},
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V. I. Kopeiko. On the structure of some unitary nil $K_1$-groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 39, Tome 522 (2023), pp. 84-100. http://geodesic.mathdoc.fr/item/ZNSL_2023_522_a4/

[1] V. I. Kopeiko, “Nilpotentnaya po Bassu unitarnaya $K_1$-gruppa unitarnogo koltsa”, Zap. nauchn. semin. POMI, 460, 2017, 134–157

[2] V. I. Kopeiko, “Ob unitarnykh nil $K_1$-gruppakh”, Zap. nauchn. semin. POMI, 513, 2022, 110–119 | MR

[3] C. Weibel, “Meyer-Vietoris sequences and module structures on $NK_{\ast}$”, Lect. Notes Math., 845, 1981, 466–493 | DOI | MR

[4] A. Bak, $K$-theory of forms, Annals Math. Stud., 98, Princeton university press, Princeton, 1981 | MR | Zbl

[5] H. Bass, “Unitary algebraic $K$-theory”, Lect. Notes Math., 343, 1973, 57–265 | DOI | MR | Zbl

[6] Kh. Bass, Algebraicheskaya $K$-teoriya, Nauka, M., 1973

[7] M. I. Kargapolov, Yu. I. Merzlyakov, Osnovy teorii grupp, 3-e izd., Nauka, M., 1982 | MR