Speaker: Dr. Pratyusha Chattopadhyay;
Date: 22th March, 2019 (Friday);
Time: 12 noon;
Venue: Committee Room, Department of Mathematics.
Title: Equality of transvection groups.
Abstract: Hyman Bass introduced transvection groups to establish certain "classical" results on Serre's problem. These are special type of subgroups of the automorphism group of finitely generated projective modules. Transvection groups are important in the study of projective modules and their K-theory. Another interesting aspect of these groups are
that they can be visualized as the generalization of classical groups in the set up of projective modules. In this talk, we will recall the definitions of linear, symplectic, and orthogonal transvection groups and discuss some results regarding equality of transvection group and elementary transvection group in the relative case with respect to an ideal of the ring.