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Injective stability for unitary K1, revisited

  • S. Sinchuk (a1)
Abstract
Abstract

We prove the injective stability theorem for unitary K1 under the usual stable range condition on the ground ring. This improves the stability theorem of A. Bak, V. Petrov and G. Tang where a stronger Λ-stable range condition was used.

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This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

2. A. Bak , V. A. Petrov , G. Tang , Stability for quadratic K1, K-Theory 30 (1) (2003) 111

3. A. Bak , G. Tang , Stability for Hermitian K1, J. Pure Appl. Algebra 150 (2000) 107121

4. A. Bak , N. Vavilov , Structure of hyperbolic unitary groups. I. Elementary subgroups, Algebra Colloq. 7 (2) (2000) 159196

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7. R. Hazrat , Dimension Theory and Nonstable K1 of Quadratic Modules, K-Theory 27 (2002) 293328

10. V.A. Petrov , Overgroups of unitary groups, K-Theory 29 (2003) 147174

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15. G. Tang , Hermitian Groups and K-Theory, K-Theory 13 (1998) 209267

16. L. N. Vaserstein , Stabilization of unitary and orthogonal groups over a ring, Math. USSR Sbornik 10 (1970) 307326

17. L. N. Vaserstein , H. You , Normal subgroups of classical groups over rings, J. Pure and Applied Algebra 105 (1) (1995) 93105

18. N. A. Vavilov , S. S. Sinchuk , Dennis-Vaserstein type decompositions, Journal of Math. Sciences 171 (3) (2010) 331337

20. Z. Zhang , Subnormal structure of non-stable unitary groups over rings, J. Pure Appl. Algebra 214 (5) (2010) 622628

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Journal of K-Theory
  • ISSN: 1865-2433
  • EISSN: 1865-5394
  • URL: /core/journals/journal-of-k-theory
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