Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9145
Title: Elementary Action of Classical Groups on Unimodular Rows Over Monoid Rings
Authors: BASU, RABEYA
MATHEW, MARIA A.
Dept. of Mathematics
Keywords: Monoid ring
Classical group
Unimodular row
Elementary action
Milnor patching
Cancellative monoid
K-1-stability
2024
2024-OCT-WEEK2
TOC-OCT-2024 
Issue Date: Oct-2024
Publisher: Springer Nature
Citation: Transformation Groups
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
URI: https://doi.org/10.1007/s00031-024-09883-y
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/9145
ISSN: 1083-4362
1531-586X
Appears in Collections:JOURNAL ARTICLES

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