Finite group actions on acyclic -complexes
Alejandro Adem (2001/2002)
Séminaire Bourbaki
Robert Oliver (1975)
Commentarii mathematici Helvetici
Zdzislaw Wojtkowiak (1980)
Commentarii mathematici Helvetici
J.H. Rubinstein (1979)
Mathematische Annalen
Ted Petrie (1976)
Commentarii mathematici Helvetici
Robert Oliver (1977)
Mathematische Zeitschrift
Stefano De Michelis (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We study the homology of the fixed point set on a rational homology sphere under the action of a finite group.
Reinhard Schultz (1978)
Manuscripta mathematica
Golasiński, Marek, Gonçalves, Daciberg Lima (2006)
Journal of Homotopy and Related Structures
Andrea Pantaleoni, Riccardo Piergallini (2011)
Fundamenta Mathematicae
We study the orientation preserving involutions of the orientable 3-dimensional handlebody , for any genus g. A complete classification of such involutions is given in terms of their fixed points.
J.P. Alexander, G.C. Hamrick, J. Vick (1974)
Inventiones mathematicae
Allan L. Edmonds (2009)
Colloquium Mathematicae
The standard P. A. Smith theory of p-group actions on spheres, disks, and euclidean spaces is extended to the case of p-group actions on tori (i.e., products of circles) and coupled with topological surgery theory to give a complete topological classification, valid in all dimensions, of the locally linear, orientation-reversing, involutions on tori with fixed point set of codimension one.
Steve Hutt (1996)
Mathematica Scandinavica
S. Stefanov (1984)
Fundamenta Mathematicae
Wim Malfait (1996)
Manuscripta mathematica
Antonio Vidal (1988)
Publicacions Matemàtiques
We work in the smooth category: manifolds and maps are meant to be smooth. Let G be a finite group acting on a connected closed manifold X and f an equivariant self-map on X with f|A fixpointfree, where A is a closed invariant submanifold of X with codim A ≥ 3. The purpose of this paper is to give a proof using obstruction theory of the following fact: If X is simply connected and the action of G on X - A is free, then f is equivariantly deformable rel. A to fixed point free map if and only if the...
Carles Casacuberta, Warren Dicks (1992)
Publicacions Matemàtiques
We conjecture that every finite group G acting on a contractible CW-complex X of dimension 2 has at least one fixed point. We prove this in the case where G is solvable, and under this additional hypothesis, the result holds for X acyclic.
Augustin Banyaga (1980)
Inventiones mathematicae
Józef H Przytycki (1989)
Mathematische Annalen
Samuel Masih (1979)
Fundamenta Mathematicae