Sharply 2-transitive groups of finite Morley rank
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866916164348674048 |
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| author | Altinel, Tuna Berkman, Ayse Wagner, Frank Olaf |
| author_facet | Altinel, Tuna Berkman, Ayse Wagner, Frank Olaf |
| contents | A sharply 2-transitive permutation group of finite Morley rank and characteristic 2 splits; a split sharply 2-transitive permutation group of finite Morley rank and characteristic different from 2 is the group of affine transformations of an algebraically closed field. In particular, a sharply 2-transitive permutation group of finite Morley rank of characteristic 3 is the group of affine transformations of an algebraically closed field of characteristic 3.Without any assumption on Morley rank, a sharply 2-transitive permutation group of characteristic 0 splits if its point stabilizers are virtually abelian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1811_10854 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Sharply 2-transitive groups of finite Morley rank Altinel, Tuna Berkman, Ayse Wagner, Frank Olaf Logic Rings and Algebras A sharply 2-transitive permutation group of finite Morley rank and characteristic 2 splits; a split sharply 2-transitive permutation group of finite Morley rank and characteristic different from 2 is the group of affine transformations of an algebraically closed field. In particular, a sharply 2-transitive permutation group of finite Morley rank of characteristic 3 is the group of affine transformations of an algebraically closed field of characteristic 3.Without any assumption on Morley rank, a sharply 2-transitive permutation group of characteristic 0 splits if its point stabilizers are virtually abelian. |
| title | Sharply 2-transitive groups of finite Morley rank |
| topic | Logic Rings and Algebras |
| url | https://arxiv.org/abs/1811.10854 |