Geodesic
The Classification of Pin4-Bundles over a 4-Complex
Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 248-256

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DOI

In this paper we show that the Lie-group $\text{Pi}{{\text{n}}_{4}}$ is isomorphic to the semidirect product $\text{(S}{{\text{U}}_{2}}\times \text{S}{{\text{U}}_{2}})\text{Z/2}$ where $Z/2$ operates by flipping the factors. Using this structure theorem we prove a classification theorem for $\text{Pi}{{\text{n}}_{4}}$ -bundles over a finite 4-complex $X$ .
DOI : 10.4153/CMB-1999-030-9
Mots-clés : 55N25, 55R10, 57S15 
Weber, Christian. The Classification of Pin4-Bundles over a 4-Complex. Canadian mathematical bulletin, Tome 42 (1999) no. 2, pp. 248-256. doi: 10.4153/CMB-1999-030-9
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     author = {Weber, Christian},
     title = {The {Classification} of {Pin4-Bundles} over a {4-Complex}},
     journal = {Canadian mathematical bulletin},
     pages = {248--256},
     year = {1999},
     volume = {42},
     number = {2},
     doi = {10.4153/CMB-1999-030-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-030-9/}
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