Abstract
This chapter completes global class field theory: computation of the abelian Galois group, Hilbert class field, restricted ramification.
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- 1.
Recall that an abelian group A always possesses one largest divisible subgroup D, which is a subgroup of \(D':=\bigcap _{n >0} n A\). But it may happen that D is strictly contained in \(D'\).
- 2.
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Harari, D. (2020). The Abelianised Absolute Galois Group of a Global Field. In: Galois Cohomology and Class Field Theory. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-43901-9_15
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DOI: https://doi.org/10.1007/978-3-030-43901-9_15
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