Some Permutation Representations of a Free Group

Peter J. Cameron

doi:10.1016/S0195-6698(87)80029-X

Some Permutation Representations of a Free Group

Peter J. Cameron^*

^*Corresponding author for this work

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

Abstract

If k and l are positive integers with k⩽l, then the free group of countable rank has a faithful permutation representation in which the degree of transitivity is k and the maximum number of fixed points of a non-identity element is l.

Original language	English
Pages (from-to)	257-260
Number of pages	4
Journal	European Journal of Combinatorics
Volume	8
Issue number	3
DOIs	https://doi.org/10.1016/S0195-6698(87)80029-X
Publication status	Published - 1 Jan 1987

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title = "Some Permutation Representations of a Free Group",

abstract = "If k and l are positive integers with k⩽l, then the free group of countable rank has a faithful permutation representation in which the degree of transitivity is k and the maximum number of fixed points of a non-identity element is l.",

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year = "1987",

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AB - If k and l are positive integers with k⩽l, then the free group of countable rank has a faithful permutation representation in which the degree of transitivity is k and the maximum number of fixed points of a non-identity element is l.

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DO - 10.1016/S0195-6698(87)80029-X

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JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

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Some Permutation Representations of a Free Group

Abstract

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