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A new characterization of symmetric groups for some n

Yıl 2014, Cilt: 43 Sayı: 5, 715 - 723, 01.10.2014

Öz

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.

Kaynakça

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Yıl 2014, Cilt: 43 Sayı: 5, 715 - 723, 01.10.2014

Öz

Kaynakça

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Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Matematik
Yazarlar

Alireza Khalili Asboei

, Seyed Sadegh Salehi Amiri Bu kişi benim

Ali Iranmanesh

Yayımlanma Tarihi 1 Ekim 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 43 Sayı: 5

Kaynak Göster

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.
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.