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

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27 papers · 1 filter

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.GR2022★ 2 cited

Matrix Waring Problem -- II

Krishna Kishore, Anupam Singh

We prove that for all integers $k \geq 1$ , there exists a constant $C_{k}$ depending only on $k$ such that for all $q > C_{k}$ and for all $n \geq 1$ every matrix in $M_{n} (F_{q})$ …

math.GR2022★ 1 cited

Powers in finite orthogonal and symplectic groups: A generating function approach

Saikat Panja, Anupam Singh

For an integer $M \geq 2$ and a finite group $G$ , an element $α \in G$ is called an $M$ -th power if it satisfies $A^{M} = α$ for some $A \in G$ . In this article, we will deal with the cas…

math.GR2020

Branching rules and commuting probabilities for Triangular and Unitriangular matrices

Dilpreet Kaur, Uday Bhaskar Sharma, Anupam Singh

This paper concerns the enumeration of simultaneous conjugacy classes of $k$ -tuples of commuting matrices in the upper triangular group $G T_{n} (F_{q})$ and unitriangular group…