A family of graphs that cannot occur as character degree graphs of solvable groups
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2017
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916139172364288 |
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| author | Bissler, Mark W. Laubacher, Jacob Lewis, Mark L. |
| author_facet | Bissler, Mark W. Laubacher, Jacob Lewis, Mark L. |
| contents | We investigate character degree graphs of solvable groups. In particular, we provide general results that can be used to eliminate which degree graphs can occur as solvable groups. Finally, we show a specific family of graphs cannot occur as a character degree for any solvable group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1707_03020 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | A family of graphs that cannot occur as character degree graphs of solvable groups Bissler, Mark W. Laubacher, Jacob Lewis, Mark L. Representation Theory 20C15 (Primary), 05C25, 20D10 (Secondary) We investigate character degree graphs of solvable groups. In particular, we provide general results that can be used to eliminate which degree graphs can occur as solvable groups. Finally, we show a specific family of graphs cannot occur as a character degree for any solvable group. |
| title | A family of graphs that cannot occur as character degree graphs of solvable groups |
| topic | Representation Theory 20C15 (Primary), 05C25, 20D10 (Secondary) |
| url | https://arxiv.org/abs/1707.03020 |