- Hacettepe Journal of Mathematics and Statistics
- Vol: 44 Issue: 1
- On the structure of finite groups with the given numbers of involutions
On the structure of finite groups with the given numbers of involutions
Authors : N. Ahanjideh, M. Foroudi Ghasemabadi
Pages : 15-22
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Publication Date : 2015-02-01
Article Type : Research
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].Keywords : Involution, classification of finite groups with