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A permutation representation of a free group. (English) Zbl 0358.20041

A permutation group is said to be highly transitive if it is \(n\)-fold transitive for every positive integer \(n\). The author describes an elementary construction of a highly transitive group which is isomorphic to a free group of rank 2.
Reviewer: T.P. McDonough

MSC:

20E05 Free nonabelian groups
20E07 Subgroup theorems; subgroup growth
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