McDonough, T. P. A permutation representation of a free group. (English) Zbl 0358.20041 Q. J. Math., Oxf. II. Ser. 28, 353-356 (1977). 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 Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 21 Documents MSC: 20E05 Free nonabelian groups 20E07 Subgroup theorems; subgroup growth PDFBibTeX XMLCite \textit{T. P. McDonough}, Q. J. Math., Oxf. II. Ser. 28, 353--356 (1977; Zbl 0358.20041) Full Text: DOI