The symmetric action on secondary homotopy groups
Baues, Hans-Joachim ; Muro, Fernando
Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, p. 733-768 / Harvested from Project Euclid
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We show that the symmetric track groups $\operatorname{Sym}_\Box(n)$, which are extensions of the symmetric groups $\operatorname{Sym}(n)$ associated to the second Stiefel-Whitney class, act as crossed modules on the secondary homotopy groups of a pointed space.
Publié le : 2008-05-15
Classification:  secondary homotopy groups,  crossed module,  square group,  cup-one product,  55Q25,  55S45 
@article{1225893951,
     author = {Baues, Hans-Joachim and Muro, Fernando},
     title = {The symmetric action on secondary homotopy groups},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {15},
     number = {1},
     year = {2008},
     pages = { 733-768},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1225893951}
}

Baues, Hans-Joachim; Muro, Fernando. The symmetric action on secondary homotopy groups. Bull. Belg. Math. Soc. Simon Stevin, Tome 15 (2008) no. 1, pp.  733-768. http://gdmltest.u-ga.fr/item/1225893951/