Hiranya Kishore Dey

activity

20182026

most citedOn Difference of Enhanced Power Graph and Power Graph of a Finite Group

7 citations · 9 across the 25 of their papers we have counts for

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4 papers · 1 filter

math.GR2026

Group Structure from Subgroup and Cyclic Subgroup Counts

Angsuman Das, Hiranya Kishore Dey, Cesar Galindo +1

For a finite group $G$, let $\sub(G)$ be the number of subgroups of $G$, let $\cyc(G)$ be the number of cyclic subgroups, and let $π(G)$ be the number of distinct prime d…

math.GR2023★ 1 cited

On the order sequence of a group

Peter J. Cameron, Hiranya Kishore Dey

This paper provides a bridge between two active areas of research, the spectrum (set of element orders) and the power graph of a finite group. The order sequence of a finite group…

math.GR2022

The solvability of a finite group by the sum of powers of element orders

Hiranya Kishore Dey

We prove a new criterion for the solvability of the finite groups, depending on the function $ψ_{k} (G)$ which is defined as the sum of $k$ -th powers of the element orders of $G$ . We…

math.GR2022

An exact upper bound for the sum of powers of element orders in non-cyclic finite groups

Hiranya Kishore Dey, Archita Mondal

For a finite group $G$ , let $ψ (G)$ denote the sum of element orders of $G$ . This function was introduced by Amiri, Amiri, and Isaacs in 2009 and they proved that for any finite gro…