On conjugacy classes of sl(2,q)
Let SL(2,q) be the group of 2x2 matrices with determinant one over a finite field F of size q. We prove that if q is even, then the product of any two noncentral conjugacy classes of SL(2,q) is the union of at least q-1 distinct conjugacy classes of SL(2,q). On the other hand, if q and gt;3 is odd,...
- Autores:
-
Adan-Bante, Edith
Harris, John M.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2012
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/49374
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/49374
http://bdigital.unal.edu.co/42831/
- Palabra clave:
- Clases conjugadas
matrices sobre un campo finito
producto de clases conjugadas
grupo especial lineal
15A33
20E45
20G40
Conjugacy classes
Matrices over a finite field
Products of conjugacy classes
Special linear group
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Adan-Bante, Edith22205af3-c177-43ff-a98d-a7818ff60f16300Harris, John M.3e2339d8-c72f-45ca-bde9-9ba29e567f883002019-06-29T08:38:32Z2019-06-29T08:38:32Z2012https://repositorio.unal.edu.co/handle/unal/49374http://bdigital.unal.edu.co/42831/Let SL(2,q) be the group of 2x2 matrices with determinant one over a finite field F of size q. We prove that if q is even, then the product of any two noncentral conjugacy classes of SL(2,q) is the union of at least q-1 distinct conjugacy classes of SL(2,q). On the other hand, if q and gt;3 is odd, then the product of any two noncentral conjugacy classes of SL(2,q) is the union of at least (q+3)/2 distinct conjugacy classes of SL(2,q).Sea SL(2,q) el grupo de las matrices 2x2 con determinante uno sobre un campo finito F de tamaño q. Se prueba que si q es par, entonces el producto de cualesquiera dos clases conjugadas no centrales de SL(2,q) es la unión de al menos q-1 distintas clases conjugadas de SL(2,q). Por otro lado, si q and gt;3 es impar, entonces el producto de cualesquiera dos clases conjugadas no centrales de SL(2,q) es la unión de al menos (q+3)/2 distintas clases conjugadas de SL(2,q).application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/45268Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 46, núm. 2 (2012); 97-111 2357-4100 0034-7426Adan-Bante, Edith and Harris, John M. (2012) On conjugacy classes of sl(2,q). Revista Colombiana de Matemáticas; Vol. 46, núm. 2 (2012); 97-111 2357-4100 0034-7426 .On conjugacy classes of sl(2,q)Artículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTClases conjugadasmatrices sobre un campo finitoproducto de clases conjugadasgrupo especial lineal15A3320E4520G40Conjugacy classesMatrices over a finite fieldProducts of conjugacy classesSpecial linear groupORIGINAL45268-217383-1-SM.pdfapplication/pdf425672https://repositorio.unal.edu.co/bitstream/unal/49374/1/45268-217383-1-SM.pdfdf3da65fe39340cf8df352b7881ab8daMD5145268-217419-1-PB.htmltext/html4429https://repositorio.unal.edu.co/bitstream/unal/49374/2/45268-217419-1-PB.htmlb044e444a9706d2d4f2d232e8061c055MD52THUMBNAIL45268-217383-1-SM.pdf.jpg45268-217383-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg4889https://repositorio.unal.edu.co/bitstream/unal/49374/3/45268-217383-1-SM.pdf.jpgb98fcfaabe88b916e01b7c8a46233be2MD53unal/49374oai:repositorio.unal.edu.co:unal/493742022-12-15 23:04:46.657Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
On conjugacy classes of sl(2,q) |
| title |
On conjugacy classes of sl(2,q) |
| spellingShingle |
On conjugacy classes of sl(2,q) Clases conjugadas matrices sobre un campo finito producto de clases conjugadas grupo especial lineal 15A33 20E45 20G40 Conjugacy classes Matrices over a finite field Products of conjugacy classes Special linear group |
| title_short |
On conjugacy classes of sl(2,q) |
| title_full |
On conjugacy classes of sl(2,q) |
| title_fullStr |
On conjugacy classes of sl(2,q) |
| title_full_unstemmed |
On conjugacy classes of sl(2,q) |
| title_sort |
On conjugacy classes of sl(2,q) |
| dc.creator.fl_str_mv |
Adan-Bante, Edith Harris, John M. |
| dc.contributor.author.spa.fl_str_mv |
Adan-Bante, Edith Harris, John M. |
| dc.subject.proposal.spa.fl_str_mv |
Clases conjugadas matrices sobre un campo finito producto de clases conjugadas grupo especial lineal 15A33 20E45 20G40 Conjugacy classes Matrices over a finite field Products of conjugacy classes Special linear group |
| topic |
Clases conjugadas matrices sobre un campo finito producto de clases conjugadas grupo especial lineal 15A33 20E45 20G40 Conjugacy classes Matrices over a finite field Products of conjugacy classes Special linear group |
| description |
Let SL(2,q) be the group of 2x2 matrices with determinant one over a finite field F of size q. We prove that if q is even, then the product of any two noncentral conjugacy classes of SL(2,q) is the union of at least q-1 distinct conjugacy classes of SL(2,q). On the other hand, if q and gt;3 is odd, then the product of any two noncentral conjugacy classes of SL(2,q) is the union of at least (q+3)/2 distinct conjugacy classes of SL(2,q). |
| publishDate |
2012 |
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2012 |
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2019-06-29T08:38:32Z |
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2019-06-29T08:38:32Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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Text |
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http://purl.org/coar/resource_type/c_6501 |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/49374 |
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http://bdigital.unal.edu.co/42831/ |
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https://repositorio.unal.edu.co/handle/unal/49374 http://bdigital.unal.edu.co/42831/ |
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spa |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/45268 |
| dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
| dc.relation.ispartofseries.none.fl_str_mv |
Revista Colombiana de Matemáticas; Vol. 46, núm. 2 (2012); 97-111 2357-4100 0034-7426 |
| dc.relation.references.spa.fl_str_mv |
Adan-Bante, Edith and Harris, John M. (2012) On conjugacy classes of sl(2,q). Revista Colombiana de Matemáticas; Vol. 46, núm. 2 (2012); 97-111 2357-4100 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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