On the structure of finite groups with the given numbers of involutions

Year 2015, Volume: 44 Issue: 1, 15 - 22, 01.02.2015

N. Ahanjideh M. Foroudi Ghasemabadi

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

References

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