Research Article
Year 2014,
Volume: 43 Issue: 5, 715 - 723, 01.10.2014
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.
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.
References
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Details
| Primary Language | English |
|---|---|
| Journal Section | Mathematics |
| Authors | |
| Publication Date | October 1, 2014 |
| Published in Issue | Year 2014 Volume: 43 Issue: 5 |