Automorphisms of graphs, p-subgroups of \(Out(F_ n)\) and the Euler characteristic of \(Out(F_ n)\)

DOI10.1016/0022-4049(87)90128-9zbMath0641.20029OpenAlexW2064004330MaRDI QIDQ1100559

John Smillie, Karen Vogtmann

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90128-9

zbMATH Keywords

free groupinner automorphismautomorphisms of free groupsrational Euler characteristicfinite subgroups of \(Out(F_ n)\)isometry groups of graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Related Items (9)

On the mod-\(p\) cohomology of \(\text{Out}(F_{2(p-1)})\). ⋮ A McCool Whitehead type theorem for finitely generated subgroups of \(\operatorname{Out}(F_n)\) ⋮ The Euler characteristic of out \((F_n)\) ⋮ Dimension of the Torelli group for \(\text{Out}(F_n)\). ⋮ Automorphisms of groups ⋮ Cohomology of \(\Aut(F_n)\) in the \(p\)-rank two case ⋮ A uniqueness decomposition theorem for actions of finite groups on free groups ⋮ A generating function for the Euler characteristic of \(Out(F_ n)\) ⋮ Contractibility of fixed point sets of auter space

Cites Work

• Moduli of graphs and automorphisms of free groups
• A generating function for the Euler characteristic of \(Out(F_ n)\)
• The centre of groups with one defining relator
• A Gauss-Bonnet formula for discrete arithmetically defined groups
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