Powers of conjugacy classes in a finite group
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909101670268928 |
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| author | Beltrán, Antonio Camina, Rachel Deborah Felipe, María José Melchor, Carmen |
| author_facet | Beltrán, Antonio Camina, Rachel Deborah Felipe, María José Melchor, Carmen |
| contents | Many results have been established that show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper is to show several results about solvability concerning the case in which the power of a conjugacy class is a union of one or two conjugacy classes. Moreover, we show that the above conditions can be determined through the character table of the group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06703 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Powers of conjugacy classes in a finite group Beltrán, Antonio Camina, Rachel Deborah Felipe, María José Melchor, Carmen Group Theory Many results have been established that show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper is to show several results about solvability concerning the case in which the power of a conjugacy class is a union of one or two conjugacy classes. Moreover, we show that the above conditions can be determined through the character table of the group. |
| title | Powers of conjugacy classes in a finite group |
| topic | Group Theory |
| url | https://arxiv.org/abs/2402.06703 |