𝐹𝑃_{∞} groups and HNN extensions

DOI10.1090/S0273-0979-1983-15165-0zbMath0521.57001OpenAlexW1536221444MaRDI QIDQ3670184

Ross Geoghegan, K. Stephen Brown

Publication date: 1983

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1983-15165-0

zbMATH Keywords

HNN-extensionstorsion-free groupHigman-Neumann-Neumann extensionsEilenberg-MacLane complexderived group2-generator 2-relator groupfundamental group of a finite graph of groupsgroups of type FP-infinityinfinite cohomological dimension

Mathematics Subject Classification ID

Geometric group theory (20F65) Homological methods in group theory (20J05) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Eilenberg-Mac Lane spaces (55P20)

Related Items (3)

Splitting homotopy idempotents. II ⋮ An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group ⋮ Free Abelian cohomology of groups and ends of universal covers

Cites Work

• Splitting homotopy idempotents. II
• Finiteness conditions for CW-complexes. I, II.
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