Fibers of the square map in some finite groups of Lie type and an application
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911890999869440 |
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| author | Panja, Saikat |
| author_facet | Panja, Saikat |
| contents | Let $G$ be one of the finite general linear, unitary, symplectic or orthogonal groups over finite fields of odd order. We find the cardinality of the fibers of the square map at a given generic element. Using this we find the number of real conjugacy classes of $G$. This is primarily achieved by leveraging a recent solution to Brauer's problem 14. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fibers of the square map in some finite groups of Lie type and an application Panja, Saikat Group Theory 20G40, 20D06 Let $G$ be one of the finite general linear, unitary, symplectic or orthogonal groups over finite fields of odd order. We find the cardinality of the fibers of the square map at a given generic element. Using this we find the number of real conjugacy classes of $G$. This is primarily achieved by leveraging a recent solution to Brauer's problem 14. |
| title | Fibers of the square map in some finite groups of Lie type and an application |
| topic | Group Theory 20G40, 20D06 |
| url | https://arxiv.org/abs/2403.17096 |