The Exact Factorizations of Almost Simple Groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
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| _version_ | 1866909440459931648 |
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| author | Li, Cai Heng Wang, Lei Xia, Binzhou |
| author_facet | Li, Cai Heng Wang, Lei Xia, Binzhou |
| contents | This paper presents a classification of exact factorizations of almost simple groups, which has been a long-standing open problem initiated around 1980 by the work of Wiegold-Williamson, and significantly progressed by Liebeck, Praeger and Saxl in 2010. The classification is then used to solve problems in bicrossproduct Hopf algebras and permutation groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_09551 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The Exact Factorizations of Almost Simple Groups Li, Cai Heng Wang, Lei Xia, Binzhou Group Theory This paper presents a classification of exact factorizations of almost simple groups, which has been a long-standing open problem initiated around 1980 by the work of Wiegold-Williamson, and significantly progressed by Liebeck, Praeger and Saxl in 2010. The classification is then used to solve problems in bicrossproduct Hopf algebras and permutation groups. |
| title | The Exact Factorizations of Almost Simple Groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2012.09551 |