Generalized Gottlieb and Whitehead center groups of space forms

Marek Golasiński, Thiago de Melo
2019 Homology, Homotopy and Applications  
We extend Oprea's result that the Gottlieb group G 1 (S 2n+1 /H) is ZH (the center of H) and show that for a map f : A) ), the centralizer of the image f * (π 1 (A)) in H. Then, we compute or estimate the groups G f m (S 2n+1 /H) and P f m (S 2n+1 /H) for certain m > 1.
doi:10.4310/hha.2019.v21.n1.a15 fatcat:zifpg2lexrgbtd3onqgwihzydy