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

 

Some properties of quadratic words in free groups


Author: Charles C. Edmunds
Journal: Proc. Amer. Math. Soc. 50 (1975), 20-22
MSC: Primary 20F10
MathSciNet review: 0372048
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Abstract: In a free group, two quadratic words have the same set of endomorphic images if and only if they have the same set of automorphic images. This is not the case for arbitrary words.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0372048-2
PII: S 0002-9939(1975)0372048-2
Keywords: Free group, automorphism, endomorphism, quadratic word
Article copyright: © Copyright 1975 American Mathematical Society



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