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Presentations of the first homotopy groups of the unitary groups |
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| Authors: | Thomas?Püttmann mailto:puttmann@math.ruhr-uni-bochum.de" title=" puttmann@math.ruhr-uni-bochum.de" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,A.?Rigas |
| Affiliation: | (1) Fakultät für Mathematik, Ruhr-Universität Bochum, 44780 Bochum, Germany;(2) IMECC, UNICAMP, C.P. 6065 , 13083-970 Campinas, SP, Brazil |
| Abstract: | We describe explicit presentations of all stable and the first nonstablehomotopy groups of the unitary groups. In particular, for each n  2we supply n homotopic maps that each represent the (n - 1)!-thpower of a suitable generator of  2n SU(n)   n!.The product of these n commuting maps is the constant map to the identity matrix. |
| Keywords: | Primary 57T20 |
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