Twisted group ring isomorphism problem
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2016
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| _version_ | 1866918165179531264 |
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| author | Margolis, Leo Schnabel, Ofir |
| author_facet | Margolis, Leo Schnabel, Ofir |
| contents | We propose and study a variation of the classical isomorphism problem for group rings in the context of projective representations. We formulate several weaker conditions following from our notion and give all logical connections between these condition by studying concrete examples. We introduce methods to study the problem and provide results for various classes of groups, including abelian groups, groups of central type, $p$-groups of order $p^4$ and groups of order $p^2q^2$, where $p$ and $q$ denote different primes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1611_00499 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Twisted group ring isomorphism problem Margolis, Leo Schnabel, Ofir Rings and Algebras Group Theory Representation Theory 16S35, 20C25, 20E99 We propose and study a variation of the classical isomorphism problem for group rings in the context of projective representations. We formulate several weaker conditions following from our notion and give all logical connections between these condition by studying concrete examples. We introduce methods to study the problem and provide results for various classes of groups, including abelian groups, groups of central type, $p$-groups of order $p^4$ and groups of order $p^2q^2$, where $p$ and $q$ denote different primes. |
| title | Twisted group ring isomorphism problem |
| topic | Rings and Algebras Group Theory Representation Theory 16S35, 20C25, 20E99 |
| url | https://arxiv.org/abs/1611.00499 |