3 papers
math.GR2026
Normality of Relative Elementary Tranvection Groups
Sunil Rampuria, Ruddarraju Amrutha, Pratyusha Chattopadhyay
A. A. Suslin and V. I. Kopeiko proved that the elementary linear, symplectic, and orthogonal groups are normal in the general linear group, symplectic group, and orthogonal group r…
math.AC2025
Normality of Vaserstein group
Ruddarraju Amrutha, Pratyusha Chattopadhyay
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 sk…
math.AC2024
Equality of elementary symplectic group and symplectic group
Ruddarraju Amrutha, Pratyusha Chattopadhyay
V.I. Kopeiko proved that over a euclidean ring, the symplectic group defined with respect to the standard skew-symmetric matrix is same as the elementary symplectic group. Here we…