Palash Sharma

collaborators

2 papers

math.GR2025

Finite groups with mostly involuted cyclic subgroups

Vaibhav Chhajer, Palash Sharma

Let $G$ be a finite group, define $I (G) = {x \in G : x^{2} = 1}$ , $C (G) =$ set of the cyclic subgroups of $G$ , $i (G) = ∣ I (G) ∣$ and $c (G) = ∣ C (G) ∣$ . In this article, we will classify finite…

math.GR2025

Finite groups with nearly half as many cyclic subgroups as elements

Vaibhav Chhajer, Sumana Hatui, Palash Sharma

Suppose $C (G)$ denotes the set of all cyclic subgroups of a finite group $G$ , and $O_{2} (G)$ denotes the number of elements of order $2$ in $G$ . In [Marius T., Finite gro…