Abstract:
In this paper we introduce and study Bass' nilpotent unitary $K_1$-group of the unitary ring. We obtain a set of the unitary representative of this group and describe all representative one by unitary unipotent matrix.
Key words and phrases:unitary ring, hermitian matrices, unitary group, unitary $K_1$-functor, Bass` nilpotent unitary $K_1$-group, unipotent matrices.
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