Nonlinear analogs of linear group actions on spheres
From MaRDI portal
Publication:3678315
DOI10.1090/S0273-0979-1984-15290-XzbMath0564.57001MaRDI QIDQ3678315
Publication date: 1984
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
group actions on spheresSmith equivalence of representationsactions of groups of prime orderlinear approximation to a given action
Groups acting on specific manifolds (57S25) Finite transformation groups (57S17) Equivariant homotopy theory in algebraic topology (55P91) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02)
Related Items (8)
Topological characterization of nonsingular real algebraic \(G\)-surfaces ⋮ Algebraic realization problems for low dimensional \(G\) manifolds ⋮ Geodesic behavior for Finsler metrics of constant positive flag curvature on \(S^2\) ⋮ Dynamics of bifurcations for variational problems with \(O(3)\) equivariance: A Conley index approach ⋮ Semi-linear homology 𝐺-spheres and their equivariant inertia groups ⋮ Characteristic fixed-point sets of semifree actions on spheres ⋮ Orientation Preserving Actions of Finite Abelian Groups on Spheres ⋮ On equivariant and invariant topological complexity of smooth ℤ/_{𝕡}-spheres
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differentiable periodic maps. 2nd ed
- Modules over finite groups
- Periodic resolutions for finite groups
- The topology of four-dimensional manifolds
- Spherical isotropy representations
- Concordance classes of regular O(n)-actions on homotopy spheres
- p-group actions on homology spheres
- Weight systems for SO(3)-actions
- Homotopielineare \(Z_ p-\)Operationen auf Sphären
- Non-linear similarity
- G-CW-surgery and \(K_ 0(\)ZG)
- One fixed point actions on spheres. I,II
- Homotopy representations of the torus
- Fixed-point sets of group actions on finite acyclic complexes
- Fixed point sets of group actions on Euclidean space
- Differentiable group actions on homotopy spheres. I: Differential structure and the knot invariant
- Quasi equivalence of G modules
- Concordance classes of regular \(U_n\) and \(Sp_n\) action on homotopy spheres
- Multiaxial actions on manifolds
- Nonlinear smooth representations of compact Lie groups
- Linear models for compact groups acting on spheres
- Homotopy representations of finite groups
- Fixed points of periodic differentiable maps
- Compact groups in \(E^ n\)
- A classification of differentiable knots
- Differentiable transformation groups on homotopy spheres
- A \(\Pi_*\)-module structure for \(\Theta_*\) and applications to transformation groups
- Representations at fixed points of smooth actions of compact groups
- The index of elliptic operators. III
- A Lefschetz fixed point formula for elliptic complexes. II: Applications
- Differentiable actions of classical groups on spheres
- The degree of symmetry of homotopy spheres
- Equivariant K-theory
- Improved estimates for the degree of symmetry of certain homotopy spheres
- Differentiable actions of compact connected classical groups. II
- Free metacyclic group actions on homotopy spheres
- The converse to the fixed point theorem of P. A. Smith. I
- Groups of homotopy spheres. I
- Examples of fixed point sets of periodic maps
- A homeomorphism between the 3-sphere and the sum of two solid horned spheres
- Compact groups of differentiable transformations
- Smith equivalence of representations
- Seminar on Transformation Groups. (AM-46)
- New results and old problems in finite transformation groups
- Compositional Methods in Homotopy Groups of Spheres. (AM-49)
- Differentiable Group Actions on Homotopy Spheres. II: Ultrasemifree Actions
- Differentiable Group Actions on Homotopy Spheres: III. Invariant Subspheres and Smooth Suspensions
- Group Actions on Manifolds
- Recognition of Linear Actions on Spheres
- Exotic spheres admitting circle actions with codimension four stationary sets
- Homologically Trivial Group Actions I: Simply Connected Manifolds
- On conjectures of Mahowald, Segal and Sullivan
- Calculation of Lin's Ext groups
- Homotopy Sphere Pairs Admitting Semifree Differentiable Actions
- Characteristic Classes. (AM-76)
- Actions of Groups of Odd Order on Compact, Orientable Manifolds
- SPHERES AS FIXED POINT SETS
- Closed curves and circle homomorphisms in groups of diffeomorphisms
- Differential Topology
- The transfer and stable homotopy theory
- On the Existence and Classification of Extensions of Actions on Submanifolds of Disks and Spheres
- On the Higher-Dimensional Smith Conjecture
- The Generalized Smith Conjecture
- Elementary Differential Topology. (AM-54)
- Differentiable Actions of Compact Connected Classical Groups I
- Diffeomorphisms of manifolds and semifree actions on homotopy spheres
- Semifree Circle Actions and the Degree of Symmetry of Homotopy Spheres
- Introduction to Algebraic K-Theory. (AM-72)
- On Certain Unitary and Symplectic Actions with Three Orbit Types
- Regular ${\mathbf{O}}\left( n \right)$-manifolds, suspension of knots, and knot periodicity
- Graeme Segal’s Burnside ring conjecture
This page was built for publication: Nonlinear analogs of linear group actions on spheres