Open Access
January 2013 Nilpotent class field theory for manifolds
Junhyeung Kim, Hisatoshi Kodani, Masanori Morishita
Proc. Japan Acad. Ser. A Math. Sci. 89(1): 15-19 (January 2013). DOI: 10.3792/pjaa.89.15


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.


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Junhyeung Kim. Hisatoshi Kodani. Masanori Morishita. "Nilpotent class field theory for manifolds." Proc. Japan Acad. Ser. A Math. Sci. 89 (1) 15 - 19, January 2013.


Published: January 2013
First available in Project Euclid: 7 January 2013

zbMATH: 1276.57016
MathSciNet: MR3017722
Digital Object Identifier: 10.3792/pjaa.89.15

Primary: 57M
Secondary: 17B

Keywords: graded Lie algebras , lower central series , nilpotent class field theory , Nilpotent Hurewicz homomorphism

Rights: Copyright © 2013 The Japan Academy

Vol.89 • No. 1 • January 2013
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