%0 Journal Article %T Smash products for secondary homotopy groups %A Hans-Joachim Baues %A Fernando Muro %J Mathematics %D 2006 %I arXiv %R 10.1007/s10485-007-9071-x %X We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cup-one products, Toda brackets and Whitehead products are considered. In particular we prove a formula for the crossed effect of the cup-one product operation on unstable homotopy groups of spheres which was claimed by Barratt-Jones-Mahowald. %U http://arxiv.org/abs/math/0604031v2