The isomorphism problem for rational group algebras of finite metacyclic groups
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910835091177472 |
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| author | del Río, Ángel García-Blázquez, Àngel |
| author_facet | del Río, Ángel García-Blázquez, Àngel |
| contents | We prove that if two finite metacyclic groups have isomorphic rational group algebras, then they are isomorphic. This contributes to understand where is the line separating positive and negative solutions to the Isomorphism Problem for group algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00432 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The isomorphism problem for rational group algebras of finite metacyclic groups del Río, Ángel García-Blázquez, Àngel Group Theory Rings and Algebras 16S34, 20C05 We prove that if two finite metacyclic groups have isomorphic rational group algebras, then they are isomorphic. This contributes to understand where is the line separating positive and negative solutions to the Isomorphism Problem for group algebras. |
| title | The isomorphism problem for rational group algebras of finite metacyclic groups |
| topic | Group Theory Rings and Algebras 16S34, 20C05 |
| url | https://arxiv.org/abs/2308.00432 |