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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2012.10895 |
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| _version_ | 1866913192572092416 |
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| author | Cheon, Gi-Sang Chung, Nhan-Phu Phung, Minh-Nhat |
| author_facet | Cheon, Gi-Sang Chung, Nhan-Phu Phung, Minh-Nhat |
| contents | In this paper, we investigate algebraic and topological properties of the Riordan groups over finite fields. These groups provide a new class of topologically finitely generated profinite groups with finite width. We also introduce, characterize index-subgroups of our Riordan groups, and finally we show exactly the range of Hausdorff dimensions of these groups. The latter results are analogous to the work of Barnea and Klopsch for the Nottingham groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_10895 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Algebraic and topological properties of Riordan groups over finite fields Cheon, Gi-Sang Chung, Nhan-Phu Phung, Minh-Nhat Group Theory In this paper, we investigate algebraic and topological properties of the Riordan groups over finite fields. These groups provide a new class of topologically finitely generated profinite groups with finite width. We also introduce, characterize index-subgroups of our Riordan groups, and finally we show exactly the range of Hausdorff dimensions of these groups. The latter results are analogous to the work of Barnea and Klopsch for the Nottingham groups. |
| title | Algebraic and topological properties of Riordan groups over finite fields |
| topic | Group Theory |
| url | https://arxiv.org/abs/2012.10895 |