Normality of Vaserstein group

Ruddarraju Amrutha; Pratyusha Chattopadhyay

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arXiv · 2502.03343

Normality of Vaserstein group

Ruddarraju Amrutha·Pratyusha Chattopadhyay

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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.

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Ruddarraju Amrutha, Pratyusha Chattopadhyay. 2025-02-05. Normality of Vaserstein group. https://arxiv.org/abs/2502.03343

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