Anupam Singh

activity

19922023

most citedPhase Transitions out of Equilibrium: domain formation and growth

117 citations · 380 across the 44 of their papers we have counts for

collaborators

47 papers

math.GR2023

Representation dimension of some finite groups

Gurleen Kaur, Amit Kulshrestha, Anupam Singh

For a finite group $G$ , the representation dimension is the smallest integer realizable as the degree of a complex faithful representation of $G$ . In this article, we compute repre…

math.GR2023★ 1 cited

Surjectivity of polynomial maps on Matrices

Saikat Panja, Prachi Saini, Anupam Singh

For $n \geq 2$ , we consider the map on $M_{n} (K)$ given by evaluation of a polynomial $f (X_{1}, \dots, X_{m})$ over the field $K$ . In this article, we explore the image o…

math.GR2023

Powers in finite unitary groups

Saikat Panja, Anupam Singh

Let $U (n, F_{q^{2}})$ denote the subgroup of unitary matrices of the general linear group $GL (n, F_{q^{2}})$ which fixes a Hermitian form and $M \geq 2$ an…

math.RA2023★ 2 cited

Differential Central Simple Algebras

Parul Gupta, Yashpreet Kaur, Anupam Singh

Differential central simple algebras are the main object of study in this survey article. We recall some crucial notions such as differential subfields, differential splitting fiel…

math.RA2022★ 1 cited

Splitting of differential quaternion algebras

Parul Gupta, Yashpreet Kaur, Anupam Singh

We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field $k$ is always split by a quadratic extension of $k$ . However, a di…

math.RA2022

Nilpotent Lie algebras with two centralizer dimensions over a finite field

Rijubrata Kundu, Tushar Kanta Naik, Anupam Singh

A result of Barnea and Isaacs states that if $L$ is a finite dimensional nilpotent Lie algebra with exactly two distinct centralizer dimensions, then nilpotency class of $L$ is eit…