Khyati Sharma

collaborators

3 papers

math.GR2026

Solvability of Groups via Cyclic Subgroup Count

Angsuman Das, Khyati Sharma

In this paper, we provide new criteria for the solvability and supersolvability of a finite group based on its number of cyclic subgroups. A finite group G is called n-cyclic if it…

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.GR2024

Cyclic Subgroup Graph of a Group

Khyati Sharma, A. Satyanarayana Reddy

A cyclic subgroup graph of a group $G$ is a graph whose vertices are cyclic subgroups of $G$ and two distinct vertices $H_{1}$ and $H_{2}$ are adjacent if $H_{1} \leq H_{2}$ , and there is n…