Diagonal complexes and the integral homology of the automorphism group of a free product

DOI10.1112/plms/pds064zbMath1278.20070arXiv1011.6038OpenAlexW3102813940MaRDI QIDQ4928924

James Griffin

Publication date: 19 June 2013

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6038

zbMATH Keywords

inner automorphismscohomologyfree productshomologysymmetric automorphism groupscactus productsdiagonal complex productsFouxe-Rabinovitch automorphisms

Mathematics Subject Classification ID

Cohomology of groups (20J06) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

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Representation stability for the cohomology of the pure string motion groups. ⋮ Rational homological stability for groups of partially symmetric automorphisms of free groups. ⋮ Cacti and filtered distributive laws ⋮ Hyperelliptic graphs and the period mapping on outer space ⋮ \(\mathrm{FI}_{\mathcal{W}}\)-modules and constraints on classical Weyl group characters ⋮ Homological stability for moduli spaces of disconnected submanifolds. I ⋮ Symmetric automorphisms of free groups, BNSR-invariants, and finiteness properties

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