Isoperimetric inequalities for automorphism groups of free groups
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Publication:1814767
DOI10.2140/pjm.1996.173.425zbMath0862.20030OpenAlexW1571920336MaRDI QIDQ1814767
Karen Vogtmann, Allen E. Hatcher
Publication date: 27 May 1997
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1996.173.425
simplicial complexesautomorphism groupsfree groupsmapping class groupsouter automorphismscombingsexponential isoperimetric inequalities
Geometric group theory (20F65) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Group actions on manifolds and cell complexes in low dimensions (57M60)
Related Items (16)
Embedded spheres in \(S^2 \times S^1\# \cdots \# S^2 \times S^1\) ⋮ The topology and geometry of automorphism groups of free groups ⋮ Isoperimetric inequalities for lattices in semisimple Lie groups of rank 2 ⋮ The hyperbolicity of the sphere complex via surgery paths ⋮ Splittings of free groups, normal forms and partitions of ends ⋮ Uniform fellow traveling between surgery paths in the sphere graph ⋮ The Dehn functions of \(\mathrm{Out}(F_n)\) and \(\Aut(F_n)\). ⋮ Sphere paths in outer space ⋮ Lipschitz retraction and distortion for subgroups of \(\mathrm{Out}(F_n)\). ⋮ The Euler characteristic of out \((F_n)\) ⋮ The geometry of the handlebody groups. II: Dehn functions ⋮ Spheres and projections for Out(Fn) ⋮ Snowflake groups, Perron-Frobenius eigenvalues and isoperimetric spectra. ⋮ Normal Forms for Basis-Conjugating Automorphisms of a Free Group ⋮ Algebraic and geometric intersection numbers for free groups ⋮ Isoperimetric inequalities for the handlebody groups
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