Leopoldt-type theorems for non-abelian extensions of Q
Number Theory
2022-04-12 v2
Abstract
We prove new results concerning the additive Galois module structure of certain wildly ramified finite non-abelian extensions of Q. In particular, when K/Q is a Galois extension with Galois group G isomorphic to A4, S4 or A5, we give necessary and sufficient conditions for the ring of integers of K to be free over its associated order in the rational group algebra Q[G].
Keywords
Cite
@article{arxiv.2112.09525,
title = {Leopoldt-type theorems for non-abelian extensions of Q},
author = {Fabio Ferri},
journal= {arXiv preprint arXiv:2112.09525},
year = {2022}
}
Comments
30 pages