199 citations
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Showing 2021 · math.NTShow all
3 papers · 2 filters
math.NT2021★ 2 cited
On the indecomposability of a remarkable new family of modules appearing in Galois theory
Jan Minac, Andrew Schultz, John Swallow
A powerful new perspective in the analysis of absolute Galois groups has recently emerged from the study of Galois modules related to classical parameterizing spaces of certain Gal…
math.NT2021
Arithmetic properties encoded in the Galois module structure of
Jan Minac, Andrew Schultz, John Swallow
The power classes of a field are well-known for their ability to parameterize elementary -abelian Galois extensions. These classical objects have recently been reexamined throug…
math.NT2021★ 7 cited
Galois module structure of square power classes for biquadratic extensions
Frank Chemotti, Jan Minac, Andrew Schultz +1
For a Galois extension with and , we determine the $\mathbb{F}_2[\text{Gal}(…