EN
A new characterization of symmetric groups for some n
Abstract
Let G be a finite group and let πe(G) be the set of element orders G.
Let k ∈ πe(G) and let mk be the number of elements of order k in G.
Set nse(G):={mk|k ∈ πe(G)}. In this paper, we prove that if G is a
group such that nse(G)=nse(Sn) where n ∈ {3, 4, 5, 6, 7}, then G ∼= Sn.
Keywords
References
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Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
October 1, 2014
Submission Date
October 28, 2011
Acceptance Date
August 19, 2013
Published in Issue
Year 2014 Volume: 43 Number: 5
APA
Asboei, A. K., Amiri, , S. S. S., & Iranmanesh, A. (2014). A new characterization of symmetric groups for some n. Hacettepe Journal of Mathematics and Statistics, 43(5), 715-723. https://izlik.org/JA69WC45ZD
AMA
1.Asboei AK, Amiri , SSS, Iranmanesh A. A new characterization of symmetric groups for some n. Hacettepe Journal of Mathematics and Statistics. 2014;43(5):715-723. https://izlik.org/JA69WC45ZD
Chicago
Asboei, Alireza Khalili, , Seyed Sadegh Salehi Amiri, and Ali Iranmanesh. 2014. “A New Characterization of Symmetric Groups for Some N”. Hacettepe Journal of Mathematics and Statistics 43 (5): 715-23. https://izlik.org/JA69WC45ZD.
EndNote
Asboei AK, Amiri , SSS, Iranmanesh A (October 1, 2014) A new characterization of symmetric groups for some n. Hacettepe Journal of Mathematics and Statistics 43 5 715–723.
IEEE
[1]A. K. Asboei, , S. S. S. Amiri, and A. Iranmanesh, “A new characterization of symmetric groups for some n”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, pp. 715–723, Oct. 2014, [Online]. Available: https://izlik.org/JA69WC45ZD
ISNAD
Asboei, Alireza Khalili - Amiri, , Seyed Sadegh Salehi - Iranmanesh, Ali. “A New Characterization of Symmetric Groups for Some N”. Hacettepe Journal of Mathematics and Statistics 43/5 (October 1, 2014): 715-723. https://izlik.org/JA69WC45ZD.
JAMA
1.Asboei AK, Amiri , SSS, Iranmanesh A. A new characterization of symmetric groups for some n. Hacettepe Journal of Mathematics and Statistics. 2014;43:715–723.
MLA
Asboei, Alireza Khalili, et al. “A New Characterization of Symmetric Groups for Some N”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 5, Oct. 2014, pp. 715-23, https://izlik.org/JA69WC45ZD.
Vancouver
1.Alireza Khalili Asboei, , Seyed Sadegh Salehi Amiri, Ali Iranmanesh. A new characterization of symmetric groups for some n. Hacettepe Journal of Mathematics and Statistics [Internet]. 2014 Oct. 1;43(5):715-23. Available from: https://izlik.org/JA69WC45ZD