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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Representations of infinite permutations
by words (II)


Authors: Randall Dougherty and Jan Mycielski
Journal: Proc. Amer. Math. Soc. 127 (1999), 2233-2243
MSC (1991): Primary 20F05
Published electronically: April 9, 1999
MathSciNet review: 1605952
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Abstract | References | Similar Articles | Additional Information

Abstract: We present an argument (due originally to R. C. Lyndon) which completes the proof of the following theorem: Every free group word which is not a proper power can represent any permutation of an infinite set.


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Additional Information

Randall Dougherty
Affiliation: Department of Mathematics, Ohio State University, Columbus, Ohio 43210
Email: rld@math.ohio-state.edu

Jan Mycielski
Affiliation: Department of Mathematics, University of Colorado, Boulder, Colorado 80309
Email: jmyciel@euclid.colorado.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04874-1
PII: S 0002-9939(99)04874-1
Received by editor(s): November 1, 1997
Published electronically: April 9, 1999
Additional Notes: The first author was supported by NSF grant number DMS-9158092 and by a fellowship from the Sloan Foundation.
Dedicated: Dedicated to the memory of Roger C. Lyndon
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1999 American Mathematical Society