Prashun Kumar

collaborators

4 papers

math.GR2026

On the Quartic-free A-groups

Prashun Kumar

A finite group is said to be quartic-free if its order is not divisible by $p^{4}$ of any prime $p$ . A finite group is called an $A$ -group if all of its Sylow subgroups are abelian.…

math.GR2026

On the normal subgroups of a split extension

Prashun Kumar

Let $N$ and $Q$ be a finite groups with $g cd (∣ N ∣, ∣ Q ∣) = 1$ . In this paper we describe normal subgroups of $G = N ⋊ Q$ via normal subgroups of $N$ and $Q$ . Let $p$ and $q$ be…

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 $n$ …

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…