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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| Дата: | 2014 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153342 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1533422019-06-15T01:27:00Z A new characterization of alternating groups Asboei, A.K. Amiri, S.S. Iranmanesh, A. 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. 2014 Article 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 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Asboei, A.K. Amiri, S.S. Iranmanesh, A. |
| spellingShingle |
Asboei, A.K. Amiri, S.S. Iranmanesh, A. A new characterization of alternating groups Algebra and Discrete Mathematics |
| author_facet |
Asboei, A.K. Amiri, S.S. Iranmanesh, A. |
| author_sort |
Asboei, A.K. |
| title |
A new characterization of alternating groups |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
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2023-05-20T17:38:30Z |
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2023-05-20T17:38:30Z |
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