A new characterization of alternating groups
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...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2014 |
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| Language: | English |
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Інститут прикладної математики і механіки НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153342 |
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| Cite this: | 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. |
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Asboei, A.K. Amiri, S.S. Iranmanesh, A. 2019-06-14T03:25:07Z 2019-06-14T03:25:07Z 2014 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. https://nasplib.isofts.kiev.ua/handle/123456789/153342 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. The authors are thankful to the referee for carefully reading the paper and for his suggestions and remarks. Partial support by the Center of Excellence of Algebraic Hyper structures and its Applications of Tarbiat Modares University (CEAHA) is gratefully acknowledge by the third author (AI). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A new characterization of alternating groups Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
A new characterization of alternating groups |
| spellingShingle |
A new characterization of alternating groups Asboei, A.K. Amiri, S.S. Iranmanesh, A. |
| title_short |
A new characterization of alternating groups |
| title_full |
A new characterization of alternating groups |
| title_fullStr |
A new characterization of alternating groups |
| title_full_unstemmed |
A new characterization of alternating groups |
| title_sort |
new characterization of alternating groups |
| author |
Asboei, A.K. Amiri, S.S. Iranmanesh, A. |
| author_facet |
Asboei, A.K. Amiri, S.S. Iranmanesh, A. |
| publishDate |
2014 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
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Article |
| 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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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/153342 |
| citation_txt |
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. |
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| first_indexed |
2025-12-07T16:28:05Z |
| last_indexed |
2025-12-07T16:28:05Z |
| _version_ |
1850867591796490240 |