Transitive permutation groups where nontrivial elements have at most two fixed points

• Kay Magaard ^[1] ; Rebecca Waldecker ^[2]
  1. [1] University of Birmingham

     University of Birmingham

     Reino Unido

     
  2. [2] Martin-Luther-UniversitätHalle–Wittenberg (Germany)
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 4 ((April 2015) ), 2015, págs. 729-759
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.04.027
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• Resumen

  • Motivated by a question on Riemann surfaces, we consider permutation groups that act nonregularly, such that every nontrivial element has at most two fixed points. We describe the permutation groups with these properties and give a complete, detailed classification when the group is simple.