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November 2008 The symmetric action on secondary homotopy groups
Hans-Joachim Baues, Fernando Muro
Bull. Belg. Math. Soc. Simon Stevin 15(4): 733-768 (November 2008). DOI: 10.36045/bbms/1225893951

Abstract

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.

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Hans-Joachim Baues. Fernando Muro. "The symmetric action on secondary homotopy groups." Bull. Belg. Math. Soc. Simon Stevin 15 (4) 733 - 768, November 2008. https://doi.org/10.36045/bbms/1225893951

Information

Published: November 2008
First available in Project Euclid: 5 November 2008

zbMATH: 1157.55009
MathSciNet: MR2475495
Digital Object Identifier: 10.36045/bbms/1225893951

Subjects:
Primary: 55Q25 , 55S45

Keywords: crossed module , cup-one product , secondary homotopy groups , square group

Rights: Copyright © 2008 The Belgian Mathematical Society

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Vol.15 • No. 4 • November 2008
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