On the \(p\)-primary cohomology of \(\text{Out}(F_n)\) in the \(p\)-rank one case

DOI10.1016/S0022-4049(99)00071-7zbMath0986.20050OpenAlexW2075730884MaRDI QIDQ1585070

Guido Mislin, Henry H. Glover

Publication date: 12 March 2001

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00071-7

zbMATH Keywords

symmetric groupscohomologysimplicial complexesvirtual cohomological dimensionfree groupsdihedral groupsouter automorphismsmetacyclic groupsLeray spectral sequences

Mathematics Subject Classification ID

Cohomology of groups (20J06) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Other homology theories in algebraic topology (55N35)

Related Items

On the mod-\(p\) cohomology of \(\text{Out}(F_{2(p-1)})\)., Modular characteristic classes for representations over finite fields, Cohomology of \(\Aut(F_n)\) in the \(p\)-rank two case

Cites Work

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• Moduli of graphs and automorphisms of free groups
• A generating function for the Euler characteristic of \(Out(F_ n)\)
• The integral cohomology of \(\text{Out}_ +(F_ 3)\)