33 citations · 343 across the 69 of their papers we have counts for
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Cohomological dimension and Schreier's formula in Galois cohomology
John Labute, Nicole Lemire, Jan Minac +1
Let p be a prime and F a field containing a primitive pth root of unity. Then for n in N, the cohomological dimension of the maximal pro-p-quotient G of the absolute Galois group o…
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…
Cyclic algebras, Schur indices, norms, and Galois modules
Jan Minac, Andrew Schultz, John Swallow
Let p be a prime and suppose that K/F is a cyclic extension of degree p^n with group G. Let J be the F_pG-module K^*/K^{*p} of pth-power classes. In our previous paper we establish…
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 module structure of Galois cohomology and partial Euler-Poincare characteristics
Nicole Lemire, Jan Minac, John Swallow
Let F be a field containing a primitive pth root of unity, and let U be an open normal subgroup of index p of the absolute Galois group G_F of F. Using the Bloch-Kato Conjecture we…
Galois module structure of Milnor K-theory in characteristic p
Ganesh Bhandari, Nicole Lemire, Jan Minac +1
Let E be a cyclic extension of degree p^n of a field F of characteristic p. Using arithmetic invariants of E/F we determine k_mE, the Milnor K-groups K_mE modulo p, as Fp[Gal(E/F)]…