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...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2014 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2014
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/153342 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862696814069678080 |
|---|---|
| author | Asboei, A.K. Amiri, S.S. Iranmanesh, A. |
| author_facet | Asboei, A.K. Amiri, S.S. Iranmanesh, A. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T16:28:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153342 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:28:05Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | A new characterization of alternating groups Asboei, A.K. Amiri, S.S. Iranmanesh, A. |
| title | 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_short | A new characterization of alternating groups |
| title_sort | new characterization of alternating groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153342 |
| work_keys_str_mv | AT asboeiak anewcharacterizationofalternatinggroups AT amiriss anewcharacterizationofalternatinggroups AT iranmanesha anewcharacterizationofalternatinggroups AT asboeiak newcharacterizationofalternatinggroups AT amiriss newcharacterizationofalternatinggroups AT iranmanesha newcharacterizationofalternatinggroups |