Faithful group actions on rooted trees induced by actions of quotients
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
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.
amalgamated free product, automorphisms of rooted tree, braid group, finite state, automata, rooted tree
IdentifiersURN: urn:nbn:se:uu:diva-143224DOI: 10.1080/00914030701410237ISI: 000250252300029OAI: oai:DiVA.org:uu-143224DiVA: diva2:389781