Abstract We study generalised class groups in dihedral extensions of number fields, focusing both on its p-adic and ℓ-adic properties along fake ℤp-extensions, where p and ℓ are distinct odd… Click to show full abstract
Abstract We study generalised class groups in dihedral extensions of number fields, focusing both on its p-adic and ℓ-adic properties along fake ℤp-extensions, where p and ℓ are distinct odd primes. Our results generalise previous works in the (pro)-dihedral setting, with applications to the study of more general fake Iwasawa theories beyond the classical case of standard class groups.
Keywords:
dihedral fake;
groups dihedral;
class;
class groups;
fake extensions;
generalised class
Journal Title: Mathematica Slovaca
Year Published: 2025
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Journal Title: Mathematica Slovaca
Year Published: 2025
Link to full text (if available)
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recommendations!