A note on generalized equivariant homotopy groups

preprint2007arXivOpen access

Abstract

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 ΓΓ-Rhodes groups, where ΓΓ admits a certain co-grouplike structure. Evaluation subgroups of ΓΓ-Rhodes groups are discussed.

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