Alireza Khalili ASBOEİ, , Seyed Sadegh Salehi AMİRİ, Ali IRANMANESH

100109

A new characterization of symmetric groups for some n

A new characterization of symmetric groups for some n

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:

Symmetric group, element order, set of the numbers of elements of the same order,

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Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

Arşiv

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