Finite group actions on simply-connected manifolds and CW complexes

DOI10.1090/memo/0257zbMath0486.57015OpenAlexW2022639524MaRDI QIDQ3946823

Amir H. Assadi

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1090/memo/0257

zbMATH Keywords

category of smooth G-manifoldsconcordance classes of actionsembeddings of equivariant CW- complexesequivariant homotopy categoryfinite groups acting on simply connected manifolds and CW-complexesprescribed isotropy subgroupstopological and PL actions of finite groups on spheres

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Surgery and handlebodies (57R65) Finite transformation groups (57S17) Embeddings in differential topology (57R40) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items

Tangential Equivalence of Group Actions ⋮ On the Existence and Classification of Extensions of Actions on Submanifolds of Disks and Spheres ⋮ The Nontriviality of the First Rational Homology Group of Some Connected Invariant Subsets of Periodic Transformations ⋮ One fixed point actions on low-dimensional spheres ⋮ Smooth circle actions on highly symmetric manifolds ⋮ Permutation complexes and modular representation theory ⋮ Abelian group actions on algebraic varieties with one fixed point ⋮ Smooth actions of \(p\)-toral groups on \(\mathbb{Z}\)-acyclic manifolds ⋮ Integral representations of finite transformation groups. III: Simply- connected four-manifolds ⋮ Unnamed Item ⋮ Group actions with inequivalent representations at fixed points ⋮ Symmetrien von Mannigfaltigkeiten und rationale Homotopietheorie ⋮ Diffeomorphism classification of finite group actions on disks