The symmetric action on secondary homotopy groups
Algebraic Topology
2009-08-04 v2 Category Theory
Abstract
We show that the symmetric track group, which is an extension of the symmetric group associated to the second Stiefel- Withney class, acts as a crossed module on the secondary homotopy group of a pointed space. An application is given to cup-one products in unstable homotopy groups of spheres, generalizing a formula of Barratt-Jones-Mahowald.
Cite
@article{arxiv.math/0604030,
title = {The symmetric action on secondary homotopy groups},
author = {Hans-Joachim Baues and Fernando Muro},
journal= {arXiv preprint arXiv:math/0604030},
year = {2009}
}
Comments
We correct a misprint in the presentation of the symmetric track groups