The rational homology of the outer automorphism group of \(F_7\).

zbMath1347.20056arXiv1512.03075MaRDI QIDQ258913

Laurent Bartholdi

Publication date: 10 March 2016

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03075

zbMATH Keywords

outer automorphism groupsfree groupscohomology of groupsgraph homologyMorita classesrational homology groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Cohomology of groups (20J06) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

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The topology and geometry of automorphism groups of free groups ⋮ On the top-dimensional \(\ell^2\)-Betti numbers ⋮ The Euler characteristic of the moduli space of graphs ⋮ Morita’s trace maps on the group of homology cobordisms ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism ⋮ The Euler characteristic of out \((F_n)\) ⋮ An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra

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