4 papers
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…
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…
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…
Normality theorem for elementary symplectic group with respect to an alternating form
Ruddarraju Amrutha, Pratyusha Chattopadhyay
A.A. Suslin proved a normality theorem for an elementary linear group, which says that an elementary linear group of size bigger than or equal to 3 over a commutative ring with uni…