D. C. Mayer

activity

20152023

most citedGroup theoretic approach to cyclic cubic fields

3 citations · 8 across the 19 of their papers we have counts for

collaborators

Showing 2021 · math.NTShow all

3 papers · 2 filters

math.NT2021

Bicyclic commutator quotients with one non-elementary component

Daniel C. Mayer

For any number field K with non-elementary 3-class group Cl(3,K) = C(3^e) x C(3), e >= 2, the punctured capitulation type kappa(K) of K in its unramified cyclic cubic extensions Li…

math.NT2021

$3$ -Principalization over $S_{3}$ -fields

Siham Aouissi, Mohamed Talbi, Daniel C. Mayer +1

Let $p \equiv 1 (mod 9)$ be a prime number and $ζ_{3}$ be a primitive cube root of unity. Then $k = Q (3 p, ζ_{3})$ is a pure metacyclic field with grou…

math.NT2021

Classifying multiplets of totally real cubic fields

Daniel C. Mayer

The number of non-isomorphic cubic fields L sharing a common discriminant d(L) = d is called the multiplicity m = m(d) of d. For an assigned value of d, these fields are collected…

Bicyclic commutator quotients with one non-elementary component

3-Principalization over S3​-fields

Classifying multiplets of totally real cubic fields

$3$ -Principalization over $S_{3}$ -fields