Roots of identity in finite groups of Lie type
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913366274998272 |
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| author | Panja, Saikat |
| author_facet | Panja, Saikat |
| contents | Given an integer $M\geq 2$, we deploy the generating function techniques to compute the number of $M$-th roots of identity in some of the well-known finite groups of Lie type, more precisely for finite general linear groups, symplectic groups, orthogonal groups of all types and unitary groups over finite fields of odd characteristics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00202 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Roots of identity in finite groups of Lie type Panja, Saikat Group Theory Combinatorics 20G40, 20D06 Given an integer $M\geq 2$, we deploy the generating function techniques to compute the number of $M$-th roots of identity in some of the well-known finite groups of Lie type, more precisely for finite general linear groups, symplectic groups, orthogonal groups of all types and unitary groups over finite fields of odd characteristics. |
| title | Roots of identity in finite groups of Lie type |
| topic | Group Theory Combinatorics 20G40, 20D06 |
| url | https://arxiv.org/abs/2401.00202 |