Topology and its Applications
Department or Program
Cohen group, Homotopy nilpotency, Homotopy space form, Hopf-James invariant, James construction, Nilpotency class, p-localized space, p-primary (homotopy) exponent, Projective space, Samelson product, Whitehead length, Whitehead product
We give estimations of the nilpotency class and the p-primary exponent of the total Cohen groups [Ω(Sr+1),Ω(X)] especially, when X is the projective space over K=R,C, the field of reals or complex numbers and H, the quaternionic skew R-algebra.
Golasinski, M. Goncalves, D. and Wong, P. 2021. "On exponent and nilpotency of [Ω(Sr+1),Ω(KPn)]." Topology and its Applications. 293. https://doi.org/10.1016/j.topol.2020.107567
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Original version is available from the publisher at: https://doi.org/10.1016/j.topol.2020.107567