Prashun Kumar

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20242026

most citedConjugacy classes of completely reducible cyclic subgroups of GL

(2, q)

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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…