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A Short Combinatorial Proof of the Vaught Conjecture

Published online by Cambridge University Press:  20 November 2018

Charles C. Edmunds
Charles C. Edmunds*
Affiliation:
University of ManitobaWinnipegManitoba
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In [5] R. C. Lyndon gave the first proof of the Vaught conjecture: that if a, b9 and c are elements of a free group F such that a2b2=c2, then ab=ba. Lyndon's proof has been followed by many alternative proofs and generalizations [1, 2, 3, 4, 6, 8, 9, 10, 11, 13, 14] all of which involve rather long combinatorial arguments or group theoretical arguments of a noncombinatorial nature.This note provides a short, purely combinatorial proof of the Vaught conjecture.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 4 , October 1975 , pp. 607 - 608
Copyright
Copyright © Canadian Mathematical Society 1975

References

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