On Integral Bases
From MaRDI portal
Publication:3249824
DOI10.2307/2033418zbMath0081.26602OpenAlexW4250657292MaRDI QIDQ3249824
Publication date: 1958
Full work available at URL: https://doi.org/10.2307/2033418
Related Items
On Hilbert-Speiser fields ⋮ Nontrivial Galois module structure of cyclotomic fields ⋮ Normal integral bases in Kummer extensions of prime degree ⋮ Cyclic Extensions Without Relative Integral Bases ⋮ Unramified quadratic extensions of real quadratic fields, normal integral bases, and 2-adic \(L\)-functions ⋮ Steinitz classes for Galois extensions of Dedekind rings ⋮ The discriminants of relative extensions and the existence of integral bases ⋮ Explicit construction of integral bases of radical function fields ⋮ The scheme of monogenic generators. II: Local monogenicity and twists ⋮ Normal integral bases and strict ray class groups modulo 4 ⋮ Composition of Bhargava's cubes over number fields ⋮ Steinitz Classes in Quartic Fields ⋮ On relative integral bases for cyclic quartic fields ⋮ Swan modules and Hilbert-Speiser number fields ⋮ Realizability of two-dimensional linear groups over rings of integers of algebraic number fields. ⋮ Ramification indices, differents, and integral bases for radical extensions. I. ⋮ Note on imaginary quadratic fields satisfying the Hilbert-Speiser condition at a prime \(p\) ⋮ On integral absolutely irreducible representations of finite groups ⋮ Existence of relative integral basis over quadratic fields and Pólya property ⋮ Composition of binary quadratic forms over number fields ⋮ Discriminants, \(\mathbb Z\)-integral bases and relative integral bases in case of multiquadratic number fields ⋮ Discriminants of algebraic number fields ⋮ On power integral bases of unramified cyclic extensions of prime degree ⋮ Note on the ring of integers of a Kummer extension of prime degree. V. ⋮ Cyclic quartic fields and genus theory of their subfields ⋮ Normal integral bases of \(\infty\)-ramified abelian extensions of totally real number fields. ⋮ Bases normales d'entiers relatives quadratiques. (Normal relative quadratic integral bases) ⋮ On relative pure cyclic fields with power integral bases
Cites Work