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Stabilization of unitary and orthogonal groups over a ring with involution

L. N. Vaserstein


Abstract: Orthogonal and unitary groups over an associative ring with involution are examined. Using these groups, orthogonal and unitary $K_1$-functors are introduced which are similar to general $K_1$-functors associated with a general linear group over a ring. Results are obtained about stabilization of orthogonal and unitary groups.
Bibliography: 9 titles.

UDC: 512.864

MSC: 51F25, 16W10, 20Gxx, 20K27, 20H25, 18Axx

Received: 29.01.1969

 English version: Mathematics of the USSR-Sbornik, 1970, 10:3, 307–326

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