Generalised homotopy and commutativity principle
In this paper, we study the action of special $n\times n $ linear (resp. symplectic) matrices which are homotopic to identity on the right invertible $n\times m$ matrices. We also prove that the commutator subgroup of $\rm{O}_{2n}(R[X])$ is two stably elementary orthogonal for a local ring $R$ with...
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| Language: | English |
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08-11-2022
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| Abstract | In this paper, we study the action of special $n\times n $ linear (resp.
symplectic) matrices which are homotopic to identity on the right invertible
$n\times m$ matrices. We also prove that the commutator subgroup of
$\rm{O}_{2n}(R[X])$ is two stably elementary orthogonal for a local ring $R$
with $\frac{1}{2}\in R$ and $n\geq 3.$ |
|---|---|
| AbstractList | In this paper, we study the action of special $n\times n $ linear (resp.
symplectic) matrices which are homotopic to identity on the right invertible
$n\times m$ matrices. We also prove that the commutator subgroup of
$\rm{O}_{2n}(R[X])$ is two stably elementary orthogonal for a local ring $R$
with $\frac{1}{2}\in R$ and $n\geq 3.$ |
| Author | Rao, Ravi A Sharma, Sampat |
| Author_xml | – sequence: 1 givenname: Ravi A surname: Rao fullname: Rao, Ravi A – sequence: 2 givenname: Sampat surname: Sharma fullname: Sharma, Sampat |
| BackLink | https://doi.org/10.48550/arXiv.2211.04111$$DView paper in arXiv |
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| Snippet | In this paper, we study the action of special $n\times n $ linear (resp.
symplectic) matrices which are homotopic to identity on the right invertible
$n\times... |
| SourceID | arxiv |
| SourceType | Open Access Repository |
| SubjectTerms | Mathematics - K-Theory and Homology |
| Title | Generalised homotopy and commutativity principle |
| URI | https://arxiv.org/abs/2211.04111 |
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