Chattopadhyay, Pratyusha ; Rao, Ravi A. (2015) Equality of linear and symplectic orbits Journal of Pure and Applied Algebra, 219 (12). pp. 5363-5386. ISSN 0022-4049
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.jpaa.2015.05.019
Abstract
It is shown that the set of orbits of the action of the elementary symplectic transvection group on all unimodular elements of a symplectic module over a commutative ring in which 2 is invertible is identical with the set of orbits of the action of the corresponding elementary transvection group. This result is used to get improved injective stability estimates for K1 of the symplectic transvection group over a non-singular affine algebras.
Item Type: | Article |
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Source: | Copyright of this article belongs to Elsevier Science. |
ID Code: | 107121 |
Deposited On: | 22 Jun 2017 09:56 |
Last Modified: | 22 Jun 2017 09:56 |
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