10 citations · 57 across the 21 of their papers we have counts for
21 papers
Quaternion algebras and square power classes over biquadratic extensions
Frank Chemotti, Jan Minac, Tung T. Nguyen +3
Recently the Galois module structure of square power classes of a field has been computed under the action of in the case where is the Klein…
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…
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…
Galois module structure of the units modulo of cyclic extensions of degree
Jan Minac, Andrew Schultz, John Swallow
Let be prime, and . When is a cyclic extension of degree , we determine the -module structure of $K^\t…
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}(…
Galois Module Structure of \Z/\ell^n-th Classes of Fields
Jan Minac, John Swallow, Adam Topaz
In this paper we use the Merkurjev-Suslin theorem to explore the structure of arithmetically significant Galois modules that arise from Kummer theory. Let K be a field of character…