Prashun Kumar

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20242026

most citedConjugacy classes of completely reducible cyclic subgroups of GL

(2, q)

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math.GR2025

Counting Irreducible Representations of a Finite Abelian Group

Thomas Breuer, Prashun Kumar, Geetha Venkataraman

Let $q$ be a power of a prime $p$ , $G$ be a finite abelian group, where $p$ does not divide $∣ G ∣$ ,and let $n$ be a positive integer. In this paper we find a formula for the number…

math.GR2025

Enumeration of solvable cube-free groups and counting certain types of split extensions

Prashun Kumar, Geetha Venkataraman

A group is said to be cube-free if its order is not divisible by the cube of any prime. Let $f_{c f, so l} (n)$ denote the isomorphism classes of solvable cube-free groups of order $n$ …