A new characterization of alternating groups
Vernadsky National Library of Ukraine
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Title |
A new characterization of alternating groups
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Creator |
Asboei, A.K.
Amiri, S.S. Iranmanesh, A. |
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Description |
Let G be a finite group and let πe(G) be the set of element orders of 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 show that if n= r, r + 1, r + 2, r + 3 r + 4, or r + 5 where r ≥ 5 is the greatest prime not exceeding n, then An characterizable by nse and order.
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Date |
2019-06-14T03:25:07Z
2019-06-14T03:25:07Z 2014 |
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Type |
Article
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Identifier |
A new characterization of alternating groups / A.K. Asboei, S.S. Amiri, A. Iranmanesh // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 8–13. — Бібліогр.: 11 назв. — англ.
1726-3255 2010 MSC:20D06, 20D60. http://dspace.nbuv.gov.ua/handle/123456789/153342 |
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Language |
en
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Relation |
Algebra and Discrete Mathematics
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Publisher |
Інститут прикладної математики і механіки НАН України
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