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ISSN 1088-6826(e) ISSN 0002-9939(p)

Representations of infinite permutations by words (II)

Author(s): Randall Dougherty; Jan Mycielski
Journal: Proc. Amer. Math. Soc. 127 (1999), 2233-2243.
MSC (1991): Primary 20F05
Posted: 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.

References:

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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: 10.1090/S0002-9939-99-04874-1
PII: S 0002-9939(99)04874-1
Received by editor(s): November 1, 1997
Posted: 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
Copyright of article: Copyright 1999, American Mathematical Society

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