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

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  • Martin-Luther-Universität Halle-Wittenberg


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.


Original languageEnglish
Pages (from-to)729-759
Number of pages31
JournalJournal of Pure and Applied Algebra
Issue number4
Early online date27 May 2014
Publication statusPublished - Apr 2015