Premium
Non‐Nesting Actions On Real Trees
Author(s) -
Levitt Gilbert
Publication year - 1998
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609397003561
Subject(s) - nesting (process) , mathematics , group action , group (periodic table) , abelian group , tree (set theory) , finitely generated group , arc (geometry) , pure mathematics , property (philosophy) , g module , isometric exercise , element (criminal law) , finitely generated abelian group , cyclic group , combinatorics , geometry , epistemology , medicine , philosophy , chemistry , materials science , organic chemistry , political science , law , metallurgy , physical therapy
The theory of isometric group actions on R ‐trees is extended to actions by homeomorphisms with the following non‐nesting property: no group element maps an arc properly into itself. A finitely presented group acting freely by homeomorphisms on an R ‐tree is free abelian or splits over a (possibly trivial) cyclic group. 1991 Mathematics Subject Classification 20E08, 20F32, 57M60.