The Modular Isomorphism Problem over all fields
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912926768562176 |
|---|---|
| author | Margolis, Leo Sakurai, Taro |
| author_facet | Margolis, Leo Sakurai, Taro |
| contents | The Modular Isomorphism Problem asks, if an isomorphism between modular group algebras of finite $p$-groups over a field $F$ implies an isomorphism of the group bases. We explore the differences of knowledge on the problem when $F$ is either assumed to be a prime field or a general field of characteristic $p$. After revising the literature and explaining reasons for the differences, we generalize some of the positive answers to the problem from the prime field case to the general case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05902 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Modular Isomorphism Problem over all fields Margolis, Leo Sakurai, Taro Rings and Algebras Group Theory 20C05, 16S34, 20D15, 16U60 The Modular Isomorphism Problem asks, if an isomorphism between modular group algebras of finite $p$-groups over a field $F$ implies an isomorphism of the group bases. We explore the differences of knowledge on the problem when $F$ is either assumed to be a prime field or a general field of characteristic $p$. After revising the literature and explaining reasons for the differences, we generalize some of the positive answers to the problem from the prime field case to the general case. |
| title | The Modular Isomorphism Problem over all fields |
| topic | Rings and Algebras Group Theory 20C05, 16S34, 20D15, 16U60 |
| url | https://arxiv.org/abs/2505.05902 |