10 citations · 23 across the 5 of their papers we have counts for
5 papers
Demuskin groups, Galois modules, and the elementary type conjecture
John Labute, Nicole Lemire, Jan Minac +1
Let p be a prime and F(p) the maximal p-extension of a field F containing a primitive p-th root of unity. We give a new characterization of Demuskin groups among Galois groups Gal(…
When is Galois cohomology free or trivial?
Nicole Lemire, Jan Minac, John Swallow
Let p be a prime and F a field containing a primitive pth root of unity. Let E/F be a cyclic extension of degree p and G_E < G_F the associated absolute Galois groups. We determine…
Galois module structure of pth-power classes of cyclic extensions of degree p^n
Jan Minac, Andrew Schultz, John Swallow
In the mid-1960s Borevic and Faddeev initiated the study of the Galois module structure of groups of pth-power classes of cyclic extensions K/F of pth-power degree. They determined…
Galois embedding problems with cyclic quotient of order p
Jan Minac, John Swallow
Let K/F be a cyclic field extension of odd prime degree. We consider Galois embedding problems involving Galois groups with common quotient Gal(K/F) such that corresponding normal…
Brauer groups of genus zero extensions of number fields
Jack Sonn, John Swallow
We determine the isomorphism class of the Brauer groups of certain nonrational genus zero extensions of number fields. In particular, for all genus zero extensions E of the rationa…