Representations of infinite permutations by words

Jan Mycielski
1987 Proceedings of the American Mathematical Society  
We prove several cases of the following theorem: Every free group word which is not a proper power can represent every permutation of an infinite set. The remaining cases will be proved in a forthcoming paper of R. C. Lyndon.
doi:10.1090/s0002-9939-1987-0884459-5 fatcat:ioiav3o4gjhrzal6a4tpezfh2i