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Bibliographic Details
Main Authors: Frisch, Sophie, Halter-Koch, Franz
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.16350
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Table of Contents:
  • Let F:K be a Galois extension of number fields and Q a prime ideal of O_F lying over the prime P of O_K. By analyzing the Q-adic closure of O_K in O_F we characterize those rings of integers O_K for which every residue class ring of Int(O_K) modulo a non-zero prime ideal is GE2 (meaning that every unimodular pair can be trasformed to (1,0) by a series of elementary transformations).