Sampat Sharma

most citedThe quotient Unimodular Vector group is nilpotent

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.KT2022

Generalised homotopy and commutativity principle

Ravi A. Rao, Sampat Sharma

In this paper, we study the action of special $n \times n$ linear (resp. symplectic) matrices which are homotopic to identity on the right invertible $n \times m$ matrices. We also…

math.AC2020★ 1 cited

The quotient Unimodular Vector group is nilpotent

Reema Khanna, Selby Jose, Sampat Sharma +1

Jose-Rao introduced and studied the Special Unimodular Vector group $S U m_{r} (R)$ and $E U m_{r} (R)$ , its Elementary Unimodular Vector subgroup. They proved that for $r \geq 2$ , $EUm_r(R)…

math.AC2020

On the first row map $G L_{d + 1} (R) ⟶ \frac{U m _{d + 1} ( R )}{E _{d + 1} ( R )}$

Sampat Sharma

In this paper, we prove that there is group homomorphism from general linear group over a polynomial extension of a local ring to the W. van der Kallen group.

Generalised homotopy and commutativity principle

The quotient Unimodular Vector group is nilpotent

On the first row map GLd+1​(R)⟶Ed+1​(R)Umd+1​(R)​

On the first row map $G L_{d + 1} (R) ⟶ \frac{U m _{d + 1} ( R )}{E _{d + 1} ( R )}$