The cohomology groups of the outer Whitehead automorphism group of a free product

DOI10.1515/FORUM.2010.021zbMath1202.20058MaRDI QIDQ3550698

Ethan Berkove, John Meier

Publication date: 1 April 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

cohomology groupscohomology ringssimplicial complexesfree productsouter automorphism groupssimplicial actionsWhitehead automorphism groups

Mathematics Subject Classification ID

Cohomology of groups (20J06) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Cites Work

• The hypertree poset and the \(\ell^2\)-Betti numbers of the motion group of the trivial link.
• The integral cohomology of the group of loops.
• The Euler characteristic of the Whitehead automorphism group of a free product
• Presentations of the Automorphism Group of a Free Product

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