Abstract length functions in groups

DOI10.1017/S0305004100053093zbMath0351.20024MaRDI QIDQ4120742

Ian M. Chiswell

Publication date: 1976

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Trees (05C05) General structure theorems for groups (20E34) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (28)

Groups with free regular length functions in $\mathbb{Z}^{n}$ ⋮ R-Trees and Normalization of Pseudogroups ⋮ FURTHER RESULTS ON MONOIDS ACTING ON TREES ⋮ Fixed subgroups of automorphisms of free by finite groups: an extension of Cooper's proof ⋮ A Green's function for non-homogeneous random walks on free products ⋮ Invariants and examples of group actions on trees and length functions ⋮ Reduced group \(C^*\)-algebras with the metric approximation property by positive maps ⋮ Notes on quadratic sequences ⋮ Length functions arising from a group action on an IR-tree ⋮ Holonomy theorem for finite semigroups ⋮ Maximal abelian subalgebras of function algebras associated with free products ⋮ Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and \({\mathbb{R}}\)-trees) ⋮ The Gromov topology on \({\mathbb{R}}\)-trees ⋮ Inherited group actions on ℝ‐trees ⋮ Minimal length functions on groups ⋮ Decomposition theorems for group pairs ⋮ Dehn fillings and elementary splittings ⋮ Infinite groups ⋮ AFFINE ACTIONS ON NON-ARCHIMEDEAN TREES ⋮ ACTIONS, LENGTH FUNCTIONS, AND NON-ARCHIMEDEAN WORDS ⋮ Construction of an infinitely generated group that is not a free product of surface groups and abelian groups, but which acts freely on an ℝ-tree ⋮ Subgroup theorem for valuated groups and the CSA property. ⋮ Towards a classification of transitive group actions on finite metric spaces ⋮ Notions of Independence Related to the Free Group ⋮ DOUBLE COSETS IN FREE GROUPS ⋮ Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces ⋮ Limit groups over partially commutative groups and group actions on real cubings ⋮ Hierarchy for groups acting on hyperbolic ℤn-spaces

Cites Work

• Unnamed Item
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• Real Length Functions in Groups
• Length Functions in Groups.

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