On Galois groups over tamely ramified cyclotomic extensions of algebraic number fields
Abstract
Let $k_{0}$ be an algebraic number field of finite degree, $S_{0}$ be a finite set of primes and $L_{S_{0}}$ be the field obtained by adjoining to $k_{0}$ all primitive $q$-th roots of unity, where $q$ runs over all primes not belonging to $S_{0}$. We shall consider, for an odd prime $l$, the maximal unramified pro-$l$ abelian extension of $L_{S_{0}}$ and investigate the structure of this Galois group with certain cyclotomic action.
Fields of Study & Subjects
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Analytic Number Theory Research
Publication details
- Journal / source
- Journal of the Mathematical Society of Japan
- Volume
- 78
- Issue
- 2
- Pages
- 447–469
- Publication date
- 12 February 2026
- Language
- EN