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A new approach to mod 2 decompositions of BSU(2) and BSO(3)
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A new approach to mod 2 decompositions of BSU(2) and BSO(3)
classification
math.AT
keywords
classifyingdecompositionsspacessubgroupsapproacharisecertaindiscrete
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Dwyer, Miller and Wilkerson proved that at the prime 2, the classifying spaces of SU(2) and SO(3) can be obtained as a homotopy pushout of the classifying spaces of certain subgroups. In this paper we show explicitly how these decompositions arise from the fusion systems of SU(2) and SO(3) over maximal discrete 2-toral subgroups.
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