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DC Field | Value | Language |
---|---|---|
dc.contributor.author | BASU, RABEYA | en_US |
dc.contributor.author | MATHEW, MARIA A. | en_US |
dc.date.accessioned | 2024-10-29T06:44:40Z | |
dc.date.available | 2024-10-29T06:44:40Z | |
dc.date.issued | 2024-10 | en_US |
dc.identifier.citation | Transformation Groups | en_US |
dc.identifier.issn | 1083-4362 | en_US |
dc.identifier.issn | 1531-586X | en_US |
dc.identifier.uri | https://doi.org/10.1007/s00031-024-09883-y | en_US |
dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9145 | |
dc.description.abstract | The elementary action of symplectic and orthogonal groups on unimodular rows of length 2n is transitive for 2n >= max(4,d+2) in the symplectic case, and 2n >= max(6,2d+4) in the orthogonal case, over monoid rings R[M], where R is a commutative noetherian ring of dimension d, and M is commutative cancellative torsion free monoid. As a consequence, one gets the surjective stabilization bound for the K-1 for classical groups. This is an extension of J. Gubeladze's results for linear groups | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springer Nature | en_US |
dc.subject | Monoid ring | en_US |
dc.subject | Classical group | en_US |
dc.subject | Unimodular row | en_US |
dc.subject | Elementary action | en_US |
dc.subject | Milnor patching | en_US |
dc.subject | Cancellative monoid | en_US |
dc.subject | K-1-stability | en_US |
dc.subject | 2024 | en_US |
dc.subject | 2024-OCT-WEEK2 | en_US |
dc.subject | TOC-OCT-2024 | en_US |
dc.title | Elementary Action of Classical Groups on Unimodular Rows Over Monoid Rings | en_US |
dc.type | Article | en_US |
dc.contributor.department | Dept. of Mathematics | en_US |
dc.identifier.sourcetitle | Transformation Groups | en_US |
dc.publication.originofpublisher | Foreign | en_US |
Appears in Collections: | JOURNAL ARTICLES |
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