4 papers · 1 filter
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…
An analogue of a result of Tits for linear and symplectic transvection groups
Pratyusha Chattopadhyay
In [9] Bogdan Nica presented an elementary proof of a result which says that the relative elementary linear group with respect to a square of an ideal of the ring is a subset of th…
Equality of orthogonal transvection group and elementary orthogonal transvection group
Pratyusha Chattopadhyay
H. Bass defined orthogonal transvection group of an orthogonal module and elementary orthogonal transvection group of an orthogonal module with a hyperbolic direct summand. We also…