Counting conjugacy classes of elements of finite order in p-compact groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917007520169984 |
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| author | Cantarero, José Villarreal, Bernardo |
| author_facet | Cantarero, José Villarreal, Bernardo |
| contents | We express the set of representations from a cyclic $p$-group to a connected $p$-compact group in terms of the associated reflection group and compute its cardinality for each exotic $p$-compact group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11069 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Counting conjugacy classes of elements of finite order in p-compact groups Cantarero, José Villarreal, Bernardo Algebraic Topology Group Theory 55R37 (Primary), 55P35, 20F55 (Secondary) We express the set of representations from a cyclic $p$-group to a connected $p$-compact group in terms of the associated reflection group and compute its cardinality for each exotic $p$-compact group. |
| title | Counting conjugacy classes of elements of finite order in p-compact groups |
| topic | Algebraic Topology Group Theory 55R37 (Primary), 55P35, 20F55 (Secondary) |
| url | https://arxiv.org/abs/2510.11069 |