Elementary symplectic orbits and improved K1-stability

Chattopadhyay, Pratyusha ; Rao, Ravi A. (2011) Elementary symplectic orbits and improved K1-stability Journal of K-Theory, 7 (02). pp. 389-403. ISSN 1865-2433

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Official URL: https://www.cambridge.org/core/journals/journal-of...

Related URL: http://dx.doi.org/10.1017/is010002021jkt109

Abstract

It is shown that the set of orbits of the action of the elementary symplectic group on all unimodular rows over a commutative ring of characteristic not 2 is identical with the set of orbits of the action of the corresponding elementary general linear group. This result is used to improve injective stability for K1 of the symplectic group over non-singular affine algebras.

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