Ram Karan Choudhary

activity

20242026

collaborators

8 papers

math.RA2026

Waring Problem for matrices over finite local rings

Ram Karan Choudhary, Harish Kishnani, Anupam Singh

This paper addresses the matrix Waring problem for matrices over finite principal local rings. Let $O_{ℓ}$ be a finite principal local ring of length $ℓ$ with the m…

math.RT2026

On rational representations and rational group algebra of $GL_{2} (q)$

Ram Karan Choudhary, Sunil Kumar Prajapati

In this article, we study rational representations of $G = GL_{2} (q)$ , where $q$ is a prime power. Let $ρ$ be an irreducible representation of $G$ over $Q$ . The…

math.RT2026

Wedderburn decomposition of the rational group algebras of $SL_{2} (q)$ and $PSL_{2} (q)$

Ram Karan Choudhary, Saikat Panja

In this article, we derive explicit combinatorial formulas, depending only on $q$ , for the Wedderburn decomposition of the rational group algebras of the finite linear groups $\ope…

math.RT2026

Classification of GVZ and Nested GVZ $p$ -groups up to Order $p^{6}$

Ram Karan Choudhary

Let $G$ be a finite group and let $\Irr(G)$ denote the set of irreducible complex characters of $G$ . For a normal subgroup $N ⊴ G$ and $Ï\in \Irr(G)$, we say that $Ï…

math.RT2025

A Combinatorial Technique for the Wedderburn Decomposition of Rational Group Algebras of Nested GVZ $p$ -groups

Ram Karan Choudhary, Sunil Kumar Prajapati

In this article, we present a combinatorial formula for the Wedderburn decomposition of rational group algebras of nested GVZ $p$ -groups, where $p$ is an odd prime. Using this form…

math.RT2025

On Matrix Representations of Groups of Order $p^{5}$ over $Q$

Ram Karan Choudhary, Sunil Kumar Prajapati

In this article, we determine all inequivalent irreducible rational matrix representations of groups of order $p^{5}$ , where $p$ is an odd prime. We also derive combinatorial formula…

Waring Problem for matrices over finite local rings

On rational representations and rational group algebra of GL2​(q)

Wedderburn decomposition of the rational group algebras of SL2​(q) and PSL2​(q)

Classification of GVZ and Nested GVZ p-groups up to Order p6

A Combinatorial Technique for the Wedderburn Decomposition of Rational Group Algebras of Nested GVZ p-groups

On Matrix Representations of Groups of Order p5 over Q

On rational representations and rational group algebra of $GL_{2} (q)$

Wedderburn decomposition of the rational group algebras of $SL_{2} (q)$ and $PSL_{2} (q)$

Classification of GVZ and Nested GVZ $p$ -groups up to Order $p^{6}$

A Combinatorial Technique for the Wedderburn Decomposition of Rational Group Algebras of Nested GVZ $p$ -groups

On Matrix Representations of Groups of Order $p^{5}$ over $Q$