On recognition of simple group L2(r) by the number of Sylow subgroups
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2014 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Acta scientiarum. Technology (Online) |
| Texto Completo: | http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16471 |
Resumo: | Let G be a finite group and n_{p}(G) be the number of Sylow <sub>p- subgroup of G. In this work it is proved if G is a centerless group and n_{p}(G)=n_{p}(L_{2}(r)), for every prime p in pi (G), where r is prime number, r^2 does not divide |G| and r is not Mersenne prime, then L_{2}(r)<=G<=Aut(L_{2}(r). |
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On recognition of simple group L2(r) by the number of Sylow subgroupsLet G be a finite group and n_{p}(G) be the number of Sylow <sub>p- subgroup of G. In this work it is proved if G is a centerless group and n_{p}(G)=n_{p}(L_{2}(r)), for every prime p in pi (G), where r is prime number, r^2 does not divide |G| and r is not Mersenne prime, then L_{2}(r)<=G<=Aut(L_{2}(r).Universidade Estadual De Maringá2014-02-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionfinite group; simple group; Sylow subgroupapplication/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/1647110.4025/actascitechnol.v36i3.16471Acta Scientiarum. Technology; Vol 36 No 3 (2014); 487-489Acta Scientiarum. Technology; v. 36 n. 3 (2014); 487-4891806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMenghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16471/pdf_16Khalili Asboei, AlirezaMohammadyari, Rezainfo:eu-repo/semantics/openAccess2015-08-14T15:12:30Zoai:periodicos.uem.br/ojs:article/16471Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2015-08-14T15:12:30Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false |
| dc.title.none.fl_str_mv |
On recognition of simple group L2(r) by the number of Sylow subgroups |
| title |
On recognition of simple group L2(r) by the number of Sylow subgroups |
| spellingShingle |
On recognition of simple group L2(r) by the number of Sylow subgroups Khalili Asboei, Alireza |
| title_short |
On recognition of simple group L2(r) by the number of Sylow subgroups |
| title_full |
On recognition of simple group L2(r) by the number of Sylow subgroups |
| title_fullStr |
On recognition of simple group L2(r) by the number of Sylow subgroups |
| title_full_unstemmed |
On recognition of simple group L2(r) by the number of Sylow subgroups |
| title_sort |
On recognition of simple group L2(r) by the number of Sylow subgroups |
| author |
Khalili Asboei, Alireza |
| author_facet |
Khalili Asboei, Alireza Mohammadyari, Reza |
| author_role |
author |
| author2 |
Mohammadyari, Reza |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Khalili Asboei, Alireza Mohammadyari, Reza |
| description |
Let G be a finite group and n_{p}(G) be the number of Sylow <sub>p- subgroup of G. In this work it is proved if G is a centerless group and n_{p}(G)=n_{p}(L_{2}(r)), for every prime p in pi (G), where r is prime number, r^2 does not divide |G| and r is not Mersenne prime, then L_{2}(r)<=G<=Aut(L_{2}(r). |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014-02-26 |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion finite group; simple group; Sylow subgroup |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16471 10.4025/actascitechnol.v36i3.16471 |
| url |
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16471 |
| identifier_str_mv |
10.4025/actascitechnol.v36i3.16471 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16471/pdf_16 |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
Universidade Estadual De Maringá |
| publisher.none.fl_str_mv |
Universidade Estadual De Maringá |
| dc.source.none.fl_str_mv |
Acta Scientiarum. Technology; Vol 36 No 3 (2014); 487-489 Acta Scientiarum. Technology; v. 36 n. 3 (2014); 487-489 1806-2563 1807-8664 reponame:Acta scientiarum. Technology (Online) instname:Universidade Estadual de Maringá (UEM) instacron:UEM |
| instname_str |
Universidade Estadual de Maringá (UEM) |
| instacron_str |
UEM |
| institution |
UEM |
| reponame_str |
Acta scientiarum. Technology (Online) |
| collection |
Acta scientiarum. Technology (Online) |
| repository.name.fl_str_mv |
Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM) |
| repository.mail.fl_str_mv |
||actatech@uem.br |
| _version_ |
1799315334935609344 |