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.
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.
AMA
Asboei AK, Amiri ,SSS, Iranmanesh A. A new characterization of symmetric groups for some n. Hacettepe Journal of Mathematics and Statistics. Ekim 2014;43(5):715-723.
Chicago
Asboei, Alireza Khalili, , Seyed Sadegh Salehi Amiri, ve Ali Iranmanesh. “A New Characterization of Symmetric Groups for Some N”. Hacettepe Journal of Mathematics and Statistics 43, sy. 5 (Ekim 2014): 715-23.
EndNote
Asboei AK, Amiri ,SSS, Iranmanesh A (01 Ekim 2014) A new characterization of symmetric groups for some n. Hacettepe Journal of Mathematics and Statistics 43 5 715–723.
IEEE
A. K. Asboei, ,. S. S. S. Amiri, ve A. Iranmanesh, “A new characterization of symmetric groups for some n”, Hacettepe Journal of Mathematics and Statistics, c. 43, sy. 5, ss. 715–723, 2014.
ISNAD
Asboei, Alireza Khalili vd. “A New Characterization of Symmetric Groups for Some N”. Hacettepe Journal of Mathematics and Statistics 43/5 (Ekim 2014), 715-723.
JAMA
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 vd. “A New Characterization of Symmetric Groups for Some N”. Hacettepe Journal of Mathematics and Statistics, c. 43, sy. 5, 2014, ss. 715-23.
Vancouver
Asboei AK, Amiri ,SSS, Iranmanesh A. A new characterization of symmetric groups for some n. Hacettepe Journal of Mathematics and Statistics. 2014;43(5):715-23.