Fixed Points of Finite Groups of Free Group Automorphisms

DOI10.2307/2160103zbMath0798.20021OpenAlexW4211071041MaRDI QIDQ4201587

Tad White

Publication date: 1 September 1993

Full work available at URL: https://doi.org/10.2307/2160103

zbMATH Keywords

free groupdeformationlength functioncontractible spaceouter spaceouter automorphism groupcompact metric spacesfree group of finite rankdiagonal actionsemisimple actions on \(\mathbb{R}\)-trees

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Automorphism groups of groups (20F28) Fundamental group, presentations, free differential calculus (57M05) Free nonabelian groups (20E05) Discontinuous groups of transformations (57S30) Groups acting on trees (20E08)

Related Items

The topology and geometry of automorphism groups of free groups, Realisation and dismantlability, Lines of minima in outer space, Quasi‐geodesics in Out(Fn) and their shadows in sub‐factors, Axes in outer space, Convexity of balls in outer space, Cofinite proper classifying spaces for lattices in semisimple lie groups of R-rank 1, Contractibility of fixed point sets of auter space

Cites Work

• Unnamed Item
• Moduli of graphs and automorphisms of free groups
• The Gromov topology on \({\mathbb{R}}\)-trees
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Equivariant outer space and automorphisms of free-by-finite groups
• Engulfing and Finitely Generated Groups
• Group Actions On R-Trees