Some permutation representations of a free group

PJ Cameron - European Journal of Combinatorics, 1987 - research-portal.st-andrews.ac.uk
European Journal of Combinatorics, 1987research-portal.st-andrews.ac.uk
… 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. … Free Group Mathematics 100% Permutation
Mathematics 100% …
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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