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

Kay Magaard; Rebecca Waldecker

doi:10.1016/j.jpaa.2014.04.027

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

Kay Magaard, Rebecca Waldecker

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	729-759
Number of pages	31
Journal	Journal of Pure and Applied Algebra
Volume	219
Issue number	4
Early online date	27 May 2014
DOIs	https://doi.org/10.1016/j.jpaa.2014.04.027
Publication status	Published - Apr 2015

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title = "Transitive permutation groups where nontrivial elements have at most two fixed points",

abstract = "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.",

author = "Kay Magaard and Rebecca Waldecker",

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AU - Waldecker, Rebecca

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AB - 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.

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DO - 10.1016/j.jpaa.2014.04.027

M3 - Article

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EP - 759

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 4

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

Abstract

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