2024/06/12 by Sameera Vemulapalli, Vemulapalli, Sameera
Computer Science · Mathematics · #Computability, Logic, AI Algorithms #Computer science #FOS: Mathematics #Mathematical and Theoretical Analysis #Mathematics #Number Theory (math.NT) #Realization (probability) #Statistics
paper · pdf · doi:10.48550/arxiv.2406.08643
openalex publication_date 2024/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let K be a number field and let n ∈ ℤ>1. The Steinitz realization problem asks: does every element of the ideal class group of K occur as the Steinitz class of a degree n extension of K? In this article, we give an affirmative answer to the Steinitz realization problem for all n and K.