On the Geometry of the Automorphism Group of a Free Group

DOI10.1112/blms/27.6.544zbMath0836.20045OpenAlexW2089562321MaRDI QIDQ4863836

Karen Vogtmann, Martin R. Bridson

Publication date: 22 February 1996

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/27.6.544

zbMATH Keywords

isoperimetric inequalitiesautomatic groupsautomorphisms of free groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items

Isoperimetric inequalities for lattices in semisimple Lie groups of rank 2, The Dehn functions of \(\mathrm{Out}(F_n)\) and \(\Aut(F_n)\)., Outer space for RAAGs, Lipschitz retraction and distortion for subgroups of \(\mathrm{Out}(F_n)\)., The automorphism group of the free group of rank 2 is a \(\text{CAT}(0)\) group., Hyperelliptic graphs and the period mapping on outer space, The geometry of the handlebody groups. II: Dehn functions, Normal Forms for Basis-Conjugating Automorphisms of a Free Group, Isoperimetric inequalities for the handlebody groups