@article{article_524235, title={On the structure of finite groups with the given numbers of involutions}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={44}, pages={15–22}, year={2015}, author={Ahanjideh, N. and Ghasemabadi, M. Foroudi}, keywords={Involution,classification of finite groups with}, abstract={Let $G$ be a finite non-solvable group. In this paper, we show that if $1/8$ of elements of $G$ have order two, then $G$ is either a simple group isomorphic to $PSL_{2}(q)$, where $q\in\{7,8,9\}$ or $G\cong GL_{2}(4).\mathbb{Z}_2 In fact in this paper, we answer Problem 132 in [1].}, number={1}, publisher={Hacettepe University}