A new characterization of A7 and A8
| Autor: | Asboei Alireza Khalili, Salehi Syyed Sadegh, Iranmanesh Ali |
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| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 21, Iss 3, Pp 43-50 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1844-0835 |
| DOI: | 10.2478/auom-2013-0041 |
| Popis: | Let G be a finite group and πe(G) be the set of element orders of G. Let k ∈ πe (G)and mk be the number of elements of order k in G. Set nse(G):={mk|k ∈ πe (G)}. It is proved that An are uniquely determined by nse(An), where n ∈ {4,5,6}. In this paper, we prove that if G is a group such that nse(G)=nse(An) where n ∈ {7,8}, then G ≅ An. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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