Transitive permutation groups where nontrivial elements have at most two fixed points. (Q479274)
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scientific article; zbMATH DE number 6377259
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transitive permutation groups where nontrivial elements have at most two fixed points. |
scientific article; zbMATH DE number 6377259 |
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Transitive permutation groups where nontrivial elements have at most two fixed points. (English)
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5 December 2014
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Motivated by an application to the theory of compact Riemann surfaces, the authors describe finite transitive permutation groups that act nonregularly, such that every nontrivial element has at most two fixed points. In particular, it is proved that if the group is simple then it is isomorphic to \(\text{PSL}_3(4)\), \(\text{PSL}_2(q)\) or \(Sz(q)\).
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finite permutation groups
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transitive permutation groups
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finite simple groups
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Riemann surfaces
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