Non‐Nesting Actions On Real Trees | Zendy

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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.

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