On unitary nil $K_1$-groups
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 110-119 Cet article a éte moissonné depuis la source Math-Net.Ru

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Nil subgroups of the unitary Bass' nilpotent $K_1$-group of the unitary ring are introduced and properties of these nil groups are proved. These properties are unitary analogies of well-known properties of the Bass' nilpotent $K_1$-group of ring.
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V. I. Kopeiko. On unitary nil $K_1$-groups. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 38, Tome 513 (2022), pp. 110-119. http://geodesic.mathdoc.fr/item/ZNSL_2022_513_a7/

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

[2] H. Bass, Algebraic $K$-theory, Benjamin, New York, 1968 | 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. Studies, 98, Princeton university press, Princeton, 1981 | MR

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

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