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Cylinders, multi-cylinders and the induced action of Aut(Fn)
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Fedaa Ibrahim
Veröffentlicht/Copyright:
27. November 2012
Abstract.
A cylinder 
is the set of infinite words with fixed prefix
u. A double-cylinder 
is “the same” for bi-infinite
words. We show that for every word u and any automorphism
of the free group F the image 
is a
finite union of cylinders. The analogous statement is true for
double cylinders. We give (a) an algorithm, and (b) a precise
formula which allows one to determine this finite union of
cylinders.
Received: 2012-04-02
Published Online: 2012-11-27
Published in Print: 2012-12-01
© 2012 by Walter de Gruyter Berlin Boston
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