On Wh3 of a Bieberbach group

DOI10.1017/S0305004100061302zbMath0546.57007MaRDI QIDQ3336387

Andrew J. Nicas

Publication date: 1984

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

zbMATH Keywords

Bieberbach groupsWaldhausen K-theoryhigher Whitehead groupscompact flat Riemannian manifoldfundamental group of the homeomorphism groupthird Whitehead group

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Algebraic topology on manifolds and differential topology (57R19) Differential topological aspects of diffeomorphisms (57R50)

Related Items

On the Higher Whitehead Groups of a Bieberbach Group, Algebraic 𝐾-theory of poly-(finite or cyclic) groups

Cites Work

• The topological-Euclidean space form problem
• Groups of automorphisms of manifolds. With an appendix by E. Peders en
• Parametrized surgery and isotopy
• Stability of concordances and the suspension homomorphism
• A Certain Subgroup of the Fundamental Group