Unitary SK_1 of semiramified graded and valued division algebras

Mathematics – Rings and Algebras

Scientific paper

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34 pages. Correction in References in v. 2

Scientific paper

We prove formulas for the unitary SK_1 of a semiramified graded division
algebra (or valued division algebra over a Henselian field) with a unitary
involution. These formulas generalize earlier formulas of Yanchevskii, (and
Platonov and Ershov for the nonunitary SK_1).

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