uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
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
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: 2011-01-20Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text
By organisation
Department of Mathematics
In the same journal
Communications in Algebra

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 176 hits
ReferencesLink to record
Permanent link

Direct link