气缸，多气缸和Aut(Fn)的诱导作用

Groups Complex. Cryptol. Pub Date : 2012-11-10 DOI:10.1515/gcc-2012-0017

Fedaa Ibrahim

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引用次数: 1

摘要

摘要圆柱体是前缀为固定u的无限单词的集合。双圆柱体对于双无限单词是“相同的”。我们证明了对于每一个单词u和自由群F的任意自同构，像是一个有限柱面并。类似的陈述对于双圆柱也是成立的。我们给出(a)一个算法，(b)一个精确的公式，它允许人们确定这个有限的圆柱体联合。

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Cylinders, multi-cylinders and the induced action of Aut(Fn)

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.

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来源期刊

Groups Complex. Cryptol.

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