10 citations · 10 across the 1 of their papers we have counts for
3 papers
math.NT2005★ 10 cited
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(…
math.NT2004★ 6 cited
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…
math.NT2004★ 7 cited
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…