On twisted group ring isomorphism problem for p-groups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929597275176960 |
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| author | Kaur, Gurleen Kaur, Surinder Singla, Pooja |
| author_facet | Kaur, Gurleen Kaur, Surinder Singla, Pooja |
| contents | In this article, we explore the problem of determining isomorphisms between the twisted complex group algebras of finite $p$-groups. This problem bears similarity to the classical group algebra isomorphism problem and has been recently examined by Margolis-Schnabel. Our focus lies on a specific invariant, referred to as the generalized corank, which relates to the twisted complex group algebra isomorphism problem. We provide a solution for non-abelian $p$-groups with generalized corank at most three. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_00977 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On twisted group ring isomorphism problem for p-groups Kaur, Gurleen Kaur, Surinder Singla, Pooja Rings and Algebras Group Theory 16S35, 20C25, 20E99 In this article, we explore the problem of determining isomorphisms between the twisted complex group algebras of finite $p$-groups. This problem bears similarity to the classical group algebra isomorphism problem and has been recently examined by Margolis-Schnabel. Our focus lies on a specific invariant, referred to as the generalized corank, which relates to the twisted complex group algebra isomorphism problem. We provide a solution for non-abelian $p$-groups with generalized corank at most three. |
| title | On twisted group ring isomorphism problem for p-groups |
| topic | Rings and Algebras Group Theory 16S35, 20C25, 20E99 |
| url | https://arxiv.org/abs/2308.00977 |