caa a22 4500 388108886 CHVBK 20180307125347.0 cr unu---uuuuu 161130s1999 xx s 000 0 eng 10.1017/S0308210500031000 doi S0308210500031000 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500031000 Chiswell I. M. School of Mathematical Sciences Queen Mary and Westfield College, University of London Mile End Road. London E1 4NS, UK Actions of locally nilpotent groups on Λ-trees [Elektronische Daten] [I. M. Chiswell] For certain classes of groups, it is shown that there are restrictions on the type of action a group in the class can have on a Λ-tree, where Λ is an arbitrary ordered abelian group, generalizing results by other authors in the case Λ = ℝ. The main classes considered are locally nilpotent, polycyclic by finite, locally (polycyclic by finite) and locally (hyperabelian by finite). The arguments involve an investigation of the relation between the type of action a group has on a Λ-tree and the type of action of its subgroups by restriction. Copyright © Royal Society of Edinburgh 1999 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/5(1999), 913-924 0308-2105 129:5<913 1999 129 PRM https://doi.org/10.1017/S0308210500031000 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500031000 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Chiswell I. M. School of Mathematical Sciences Queen Mary and Westfield College, University of London Mile End Road. London E1 4NS, UK NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/5(1999), 913-924 0308-2105 129:5<913 1999 129 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge