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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2109.01385 |
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| _version_ | 1866915159260266496 |
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| author | Hanaki, Akihide Hirai, Takuto Ponomarenko, Ilia |
| author_facet | Hanaki, Akihide Hirai, Takuto Ponomarenko, Ilia |
| contents | In his famous monograph on permutation groups, H.~Wielandt gives an example of a Schur ring over an elementary abelian group of order $p^2$ ($p>3$ is a prime), which is non-schurian, that is, it is the transitivity module of no permutation group. Generalizing this example, we construct a huge family of non-schurian Schur rings over elementary abelian groups of even rank. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_01385 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On a huge family of non-schurian Schur rings Hanaki, Akihide Hirai, Takuto Ponomarenko, Ilia Group Theory Combinatorics 20C05 In his famous monograph on permutation groups, H.~Wielandt gives an example of a Schur ring over an elementary abelian group of order $p^2$ ($p>3$ is a prime), which is non-schurian, that is, it is the transitivity module of no permutation group. Generalizing this example, we construct a huge family of non-schurian Schur rings over elementary abelian groups of even rank. |
| title | On a huge family of non-schurian Schur rings |
| topic | Group Theory Combinatorics 20C05 |
| url | https://arxiv.org/abs/2109.01385 |