Hopf-Galois module structure of degree p extensions of p-adic fields

2024/10/14 by Gil-Muñoz, Daniel
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2410.10383

Abstract

Let p be an odd prime number. For a degree p extension of p-adic fields L/K, we give a complete characterization of the condition that the ring of integers O_L is free as a module over its associated order in the unique Hopf-Galois structure on L/K.

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