1 citations · 1 across the 5 of their papers we have counts for
8 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…
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…
Gram-Schmidt-Vaserstein generators for odd sized elementary groups
Pratyusha Chattopadhyay, Ravi A. Rao
The Gram-Schmidt process of L.N. Vaserstein for making an elementary matrix symplectic yields a nice set of generators for the odd sized elementary group.
Equality of Linear and Symplectic Orbits
Pratyusha Chattopadhyay, Ravi A. Rao
It is shown that the set of orbits of the action of the elementary symplectic transvection group on all unimodular elements of a symplectic module over a commutative ring of charac…