EN
On the structure of finite groups with the given numbers of involutions
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
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
February 1, 2015
Submission Date
February 17, 2013
Acceptance Date
November 29, 2013
Published in Issue
Year 2015 Volume: 44 Number: 1
APA
Ahanjideh, N., & Ghasemabadi, M. F. (2015). On the structure of finite groups with the given numbers of involutions. Hacettepe Journal of Mathematics and Statistics, 44(1), 15-22. https://izlik.org/JA64YU66XF
AMA
1.Ahanjideh N, Ghasemabadi MF. On the structure of finite groups with the given numbers of involutions. Hacettepe Journal of Mathematics and Statistics. 2015;44(1):15-22. https://izlik.org/JA64YU66XF
Chicago
Ahanjideh, N., and M. Foroudi Ghasemabadi. 2015. “On the Structure of Finite Groups With the Given Numbers of Involutions”. Hacettepe Journal of Mathematics and Statistics 44 (1): 15-22. https://izlik.org/JA64YU66XF.
EndNote
Ahanjideh N, Ghasemabadi MF (February 1, 2015) On the structure of finite groups with the given numbers of involutions. Hacettepe Journal of Mathematics and Statistics 44 1 15–22.
IEEE
[1]N. Ahanjideh and M. F. Ghasemabadi, “On the structure of finite groups with the given numbers of involutions”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, pp. 15–22, Feb. 2015, [Online]. Available: https://izlik.org/JA64YU66XF
ISNAD
Ahanjideh, N. - Ghasemabadi, M. Foroudi. “On the Structure of Finite Groups With the Given Numbers of Involutions”. Hacettepe Journal of Mathematics and Statistics 44/1 (February 1, 2015): 15-22. https://izlik.org/JA64YU66XF.
JAMA
1.Ahanjideh N, Ghasemabadi MF. On the structure of finite groups with the given numbers of involutions. Hacettepe Journal of Mathematics and Statistics. 2015;44:15–22.
MLA
Ahanjideh, N., and M. Foroudi Ghasemabadi. “On the Structure of Finite Groups With the Given Numbers of Involutions”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, Feb. 2015, pp. 15-22, https://izlik.org/JA64YU66XF.
Vancouver
1.N. Ahanjideh, M. Foroudi Ghasemabadi. On the structure of finite groups with the given numbers of involutions. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Feb. 1;44(1):15-22. Available from: https://izlik.org/JA64YU66XF