• Corpus ID: 244714108

Bredon homology of wallpaper groups

@inproceedings{Flores2021BredonHO,
  title={Bredon homology of wallpaper groups},
  author={Ram{\'o}n Flores},
  year={2021}
}
In this paper we compute the Bredon homology of wallpaper groups with respect to the family of finite groups and with coefficients in the complex representation ring. We provide explicit bases of the homology groups in terms of irreducible characters of the representation rings of the stabilizers. 
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SHOWING 1-10 OF 28 REFERENCES
Bredon Homology of Partition Complexes
We prove that the Bredon homology or cohomology of the partition complex with fairly general coefficients is either trivial or computable in terms of constructions with the Steinberg module. The…
Bredon homology and equivariant K-homology of SL(3,Z)
Computing Bredon homology of groups
We describe the basic ingredients of a general computational framework for performing machine calculations in the cohomology of groups. This has been implemented in the GAP system for computational…
On the classifying space for proper actions of groups with cyclic torsion
Abstract. In this paper we introduce a common framework for describing the topological part of the Baum–Connes conjecture for a wide class of groups. We compute the Bredon homology for groups with…
Proper Group Actions and the Baum-Connes Conjecture
Equivariant K-Homology of the Classifying Space for Proper Actions.- On the Baum-Connes Assembly Map for Discrete Groups.
Equivariant K-homology for hyperbolic reflection groups
We compute the equivariant K-homology of the classifying space for proper actions, for cocompact 3-dimensional hyperbolic reflection groups. This coincides with the topological K-theory of the…
Transformation of Groups
In this work, we have proved a number of purely geometric statements by algebraic methods. Also we have proved Sylvester’s law of Nullity and Exercise: the nullity of the product BA never exceeds the…
Computations of K- and L-Theory of Cocompact Planar Groups
The verification of the isomorphism conjectures of Baum and Connes and Farrell and Jones for certain classes of groups is used to compute the algebraic K -a ndL-theory and the topolo- gicalK-theory…
The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory
We give a survey of the meaning, status and applications of the Baum-Connes Conjecture about the topological K-theory of the reduced group C^*-algebra and the Farrell-Jones Conjecture about the…
Survey on Classifying Spaces for Families of Subgroups
We define for a topological group G and a family of subgroups \( \mathcal{F} \) two versions for the classifying space for the family \( \mathcal{F} \) , the G-CW-version \( E_\mathcal{F} \) (G) and…
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