Smith equivalence and finite Oliver groups with Laitinen number 0 or 1.
Pawałowski, Krzysztof, Solomon, Ronald (2002)
Algebraic & Geometric Topology
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Displaying similar documents to “Fixed point data of finite groups acting on 3-manifolds.”
Smith equivalence and finite Oliver groups with Laitinen number 0 or 1.
Local properties of stably complex -actions
Krzysztof Pawałowski (1996)
Mathematica Slovaca
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Permutations; isotropy and smooth cyclic group actions on definite 4-manifolds.
Hambleton, Ian, Tanase, Mihail (2004)
Geometry & Topology
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On finite subgroups of groups of type VF.
Leary, Ian J. (2005)
Geometry & Topology
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On the actions of SO(3) on lens space II
Soon-Kyu Kim, Jingyal Pak (1977)
Fundamenta Mathematicae
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On finite groups acting on acyclic low-dimensional manifolds
Alessandra Guazzi, Mattia Mecchia, Bruno Zimmermann (2011)
Fundamenta Mathematicae
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We consider finite groups which admit a faithful, smooth action on an acyclic manifold of dimension three, four or five (e.g. Euclidean space). Our first main result states that a finite group acting on an acyclic 3- or 4-manifold is isomorphic to a subgroup of the orthogonal group O(3) or O(4), respectively. The analogous statement remains open in dimension five (where it is not true for arbitrary continuous actions, however). We prove that the only finite nonabelian simple groups admitting...
Theorems relating to quotient-groups
G. Miller (1905)
Prace Matematyczno-Fizyczne
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Cyclic quasinormal subgroups of arbitrary groups
Stewart E. Stonehewer, Giovanni Zacher (2006)
Rendiconti del Seminario Matematico della Università di Padova
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On the actions of SO(3) on lens spaces
Soon-Kyu Kim, Jingyal Pak (1976)
Fundamenta Mathematicae
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Equivariant Euler characteristics and -homology Euler classes for proper cocompact -manifolds.
Lück, Wolfgang, Rosenberg, Jonathan (2003)
Geometry & Topology
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Spherical isotropy representations
Ted Petrie, John Randall (1985)
Publications Mathématiques de l'IHÉS
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The Connes-Kasparov conjecture for almost connected groups and for linear -adic groups
Jérôme Chabert, Siegfried Echterhoff, Ryszard Nest (2003)
Publications Mathématiques de l'IHÉS
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Let G be a locally compact group with cocompact connected component. We prove that the assembly map from the topological K-theory of G to the K-theory of the reduced C-algebra of G is an isomorphism. The same is shown for the groups of -rational points of any linear algebraic group over a local field of characteristic zero.