On embeddability of Coxeter groups into the Riordan group
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913720844681216 |
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| author | He, Tian-Xiao Krylov, Nikolai A. |
| author_facet | He, Tian-Xiao Krylov, Nikolai A. |
| contents | We discuss examples of linear representations of finite groups as subgroups of the Riordan group. In particular, we show that the symmetric group of degree three has no faithful representation as a subgroup of the Riordan group over the complex numbers, but can be embedded as a subgroup of the Riordan group over a field of characteristic three. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10470 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On embeddability of Coxeter groups into the Riordan group He, Tian-Xiao Krylov, Nikolai A. Group Theory Combinatorics 20F05, 20F55, 20H20, 05A05, 05E16 We discuss examples of linear representations of finite groups as subgroups of the Riordan group. In particular, we show that the symmetric group of degree three has no faithful representation as a subgroup of the Riordan group over the complex numbers, but can be embedded as a subgroup of the Riordan group over a field of characteristic three. |
| title | On embeddability of Coxeter groups into the Riordan group |
| topic | Group Theory Combinatorics 20F05, 20F55, 20H20, 05A05, 05E16 |
| url | https://arxiv.org/abs/2405.10470 |