We introduce a nilpotent Hurewicz homomorphism for a topological manifold, following the Lie algebra method in nilpotent class field theory for local and number fields by H. Koch et al. Using Labute-Anick's results on the determination of the Lie algebra attached to the lower central series of a group, we present explicitly nilpotent class field theory for some two and three dimensional manifolds.
|Number of pages||5|
|Journal||Proceedings of the Japan Academy Series A: Mathematical Sciences|
|Publication status||Published - Jan 1 2013|
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