INFINITE CLASS FIELD TOWERS OF NUMBER FIELDS OF PRIME POWER DISCRIMINANT

Farshid Hajir (1) , Christian Maire (2) , Ravi Ramakrishna (3)

1 UMass Amherst - University of Massachusetts [Amherst]
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
3 Department of Mathematics [Cornell]

For every prime number $p$, we show the existence of a solvable number field $L$ ramified only at $\{p, \infty\}$ whose $p$-Hilbert Class field tower is infinite.

Domaines: Mathématiques [math]; Théorie des nombres [math.NT]

Farshid Hajir, Christian Maire, Ravi Ramakrishna. INFINITE CLASS FIELD TOWERS OF NUMBER FIELDS OF PRIME POWER DISCRIMINANT. 2020. ⟨hal-02779258⟩