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Faithful group actions on rooted trees induced by actions of quotients
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2007 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 35, no 11, 3759-3775 p.Article in journal (Refereed) Published
Abstract [en]

We develop some new techniques of constructing (finite state) actions on rooted homogeneous trees and apply them to various groups. In particular we show that there is a faithful action of each amalgameted free product of the form Z * (Z) Z on a rooted homogeneous tree of finite degree, described by finite state automorphisms.

Place, publisher, year, edition, pages
2007. Vol. 35, no 11, 3759-3775 p.
Keyword [en]
amalgamated free product, automorphisms of rooted tree, braid group, finite state, automata, rooted tree
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-143224DOI: 10.1080/00914030701410237ISI: 000250252300029OAI: oai:DiVA.org:uu-143224DiVA: diva2:389781
Available from: 2011-01-20 Created: 2011-01-20 Last updated: 2017-12-11Bibliographically approved

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