Automorphism Group of the Holomorph of a Cyclic Group
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866911207826391040 |
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| author | Sato, Kazuki |
| author_facet | Sato, Kazuki |
| contents | We show that the holomorph of a cyclic group of order $n$ is isomorphic to its own automophism group when $n$ is twice of a power of an odd prime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18435 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Automorphism Group of the Holomorph of a Cyclic Group Sato, Kazuki Group Theory We show that the holomorph of a cyclic group of order $n$ is isomorphic to its own automophism group when $n$ is twice of a power of an odd prime. |
| title | Automorphism Group of the Holomorph of a Cyclic Group |
| topic | Group Theory |
| url | https://arxiv.org/abs/2407.18435 |