On Groups with the Same Set of Conjugacy Class Sizes as Nilpotent Groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916579339403264 |
|---|---|
| author | Zhou, Wei |
| author_facet | Zhou, Wei |
| contents | We construct examples of groups which have the same set of conjugacy class sizes as nilpotent groups, while their center is trivial. This answers a question posed by A. R. Camina in 2006. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13362 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Groups with the Same Set of Conjugacy Class Sizes as Nilpotent Groups Zhou, Wei Group Theory We construct examples of groups which have the same set of conjugacy class sizes as nilpotent groups, while their center is trivial. This answers a question posed by A. R. Camina in 2006. |
| title | On Groups with the Same Set of Conjugacy Class Sizes as Nilpotent Groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2501.13362 |