Permutation groups whose non-identity elements have k fixed points

Peter J. Cameron

doi:10.1515/jgth.2001.006

Permutation groups whose non-identity elements have k fixed points

Peter J. Cameron^*

^*Corresponding author for this work

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

Abstract

In this note I prove an asymptotic structure theorem for groups with the property that any non-identity element fixes exactly k points. I also look briefly at the infinite analogue, and at a conjectured analogue for groups with prescribed sets of fixed-point numbers.

Original language	English
Pages (from-to)	45-51
Number of pages	7
Journal	Journal of Group Theory
Volume	4
Issue number	1
DOIs	https://doi.org/10.1515/jgth.2001.006
Publication status	Published - 1 Jan 2001

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Permutation groups whose non-identity elements have k fixed points

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