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

Showing 2022Show all

5 papers · 1 filter

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…

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.RA2022★ 4 cited

Splitting fields of differential symbol algebras

Parul Gupta, Yashpreet Kaur, Anupam Singh

For $m \geq 2$ , we study derivations on symbol algebras of degree $m$ over fields with characteristic not dividing $m$ . A differential central simple algebra over a field $k$ is spl…