Ram Karan Choudhary

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20232026

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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 $χ\in \Irr(G)$, we say that $χ$ …

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

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 $p^{6}$