10 citations · 23 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
Galois Module Structure of th-Power Classes of Extensions of Degree p
Ján Minác, John Swallow
For fields F of characteristic not p containing a primitive th root of unity, we determine the Galois module structure of the group of th-power classes of K for all cyclic ex…