Displaying similar documents to “Representation Forms for Metacyclic groups.”

A note on generalized equivariant homotopy groups

Marek Golasiński, Daciberg L. Gonçalves, Peter N. Wong (2009)

Banach Center Publications

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In this paper, we generalize the equivariant homotopy groups or equivalently the Rhodes groups. We establish a short exact sequence relating the generalized Rhodes groups and the generalized Fox homotopy groups and we introduce Γ-Rhodes groups, where Γ admits a certain co-grouplike structure. Evaluation subgroups of Γ-Rhodes groups are discussed.

The equivariant homotopy type of G-ANR's for proper actions of locally compact groups

Sergey A. Antonyan, Erik Elfving (2009)

Banach Center Publications

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We prove that if G is a locally compact Hausdorff group then every proper G-ANR space has the G-homotopy type of a G-CW complex. This is applied to extend the James-Segal G-homotopy equivalence theorem to the case of arbitrary locally compact proper group actions.

On the equivariant homotopy of spheres

Ryszard L. Rubinsztein

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CONTENTSIntroduction............................................................................... 51. A technical lemma...................................................................... 72. Bundle of coefficients................................................................. 83. A remark on Lie groups............................................................. 124. An extension lemma .................................................................. 135. The simplest case. The...