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.
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- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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