Relative Genus Theory and the Class Group of l-Extensions

DOI10.2307/1999365zbMath0514.12012OpenAlexW4236601376MaRDI QIDQ3659869

Gary Cornell

Publication date: 1983

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999365

zbMATH Keywords

genus fieldgenus theorymaximal Abelian unramified extensioninfinite class field towerclass group of l-extensions

Mathematics Subject Classification ID

Other number fields (11R21) Class field theory (11R37) Iwasawa theory (11R23)

Related Items (9)

On the growth of \(p\)-class groups in \(p\)-class field towers ⋮ On the Construction of Relative Genus Fields ⋮ ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group ⋮ Pointwise bound for \(\ell \)-torsion in class groups: elementary abelian extensions ⋮ On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields ⋮ Ostrowski quotients for finite extensions of number fields ⋮ Counting maximal arithmetic subgroups. Appendix by Jordan Ellenberg and Akshay Venkatesh ⋮ Counting non-uniform lattices ⋮ Class groups in cyclic $\ell $-extensions: Comments on a paper by G. Cornell

This page was built for publication: Relative Genus Theory and the Class Group of l-Extensions