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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-12, author = {Marek Golasi\'nski and Daciberg L. Gon\c calves and Peter N. Wong}, title = {A note on generalized equivariant homotopy groups}, journal = {Banach Center Publications}, volume = {86}, year = {2009}, pages = {179-185}, zbl = {1186.55005}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-12} }
Marek Golasiński; Daciberg L. Gonçalves; Peter N. Wong. A note on generalized equivariant homotopy groups. Banach Center Publications, Tome 86 (2009) pp. 179-185. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-12/