Braid group can be viewed as a symmetry group with a "one more dimension to pass through". Is there any "Galois theory", where the braid groups plays analoguos role as a symmetry groups in a native Galois theory? Can this be related to the purposes of low-dimensional topology?
closed as unclear what you're asking by YCor, Stefan Kohl, Qiaochu Yuan, Ricardo Andrade, Theo Johnson-Freyd Mar 2 '14 at 2:14
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