Homological stability for automorphism groups of free groups

DOI10.1007/BF02565999zbMath0836.57003MaRDI QIDQ1896462

Allen E. Hatcher

Publication date: 27 August 1995

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140361

zbMATH Keywords

homological stabilityfree group of rank \(n\)connected sum of \(n\) copies of \(S^ 2 \times S^ 1\)Culler-Vogtmann space of actions on \(R\)-treesfamilies of disjoint imbedded 2-spheresmapping class group of 3-manifoldouter automorphism group of free groups

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Fundamental group, presentations, free differential calculus (57M05) Free nonabelian groups (20E05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Connections of group theory with homological algebra and category theory (20J99) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

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