Normality of Vaserstein group
Commutative Algebra
2025-02-06 v1 Representation Theory
Abstract
A.A. Suslin proved a normality theorem for an elementary linear group and V.I. Kopeiko extended this result of Suslin for a symplectic group defined with respect to the standard skew-symmetric matrix of even size. We generalized the result of Kopeiko for a symplectic group defined with respect to any invertible skew-symmetric matrix of Pfaffian one. Vaserstein group is an extension of a symplectic group defined with respect to any invertible skew-symmetric matrix of Pfaffian one in the set up of projective modules. Here we prove a normality theorem for Vaserstein group.
Cite
@article{arxiv.2502.03343,
title = {Normality of Vaserstein group},
author = {Ruddarraju Amrutha and Pratyusha Chattopadhyay},
journal= {arXiv preprint arXiv:2502.03343},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2211.01416, arXiv:2412.10696