PROPER ACTIONS OF AUTOMORPHISM GROUPS OF FREE PRODUCTS OF FINITE GROUPS

DOI10.1142/S0218196705002256zbMath1089.20019OpenAlexW1992232356MaRDI QIDQ5461662

Yu Qing Chen, Craig A. Jensen, Henry H. Glover

Publication date: 26 July 2005

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196705002256

zbMATH Keywords

simplicial complexesouter automorphism groupsproper actionssimplicial actionssymmetric automorphismscontractible spacesautomorphism groups of free products

Mathematics Subject Classification ID

Geometric group theory (20F65) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

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Cites Work

• Rescuing the Whitehead method for free products. I: Peak reduction
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Equivariant outer space and automorphisms of free-by-finite groups
• Groups acting on finite dimensional spaces with finite stabilizers
• Contractibility of fixed point sets of auter space
• Normal Forms for Basis-Conjugating Automorphisms of a Free Group