Equality of orthogonal transvection group and elementary orthogonal transvection group

Authors

Pratyusha Chattopadhyay, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Journal of Pure and Applied Algebra

Abstract

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 have the notion of relative orthogonal transvection group and relative elementary orthogonal transvection group with respect to an ideal of the ring. According to the definition of Bass relative elementary orthogonal transvection group is a subgroup of the relative orthogonal transvection group of an orthogonal module with hyperbolic direct summand. Here we show that these two groups are the same in the case when the orthogonal module splits locally.

First Page

2831

Last Page

2844

DOI

10.1016/j.jpaa.2018.09.018

Publication Date

7-1-2019

Comments

Open Access, Green

Recommended Citation

Chattopadhyay, Pratyusha, "Equality of orthogonal transvection group and elementary orthogonal transvection group" (2019). Journal Articles. 796.
https://digitalcommons.isical.ac.in/journal-articles/796