John Swallow

Galois module structure ofpth-power classes of extensions of degreep

For fieldF of characteristic notp containing a primitivepth root of unity, we determine the Galois module structure of the group ofpth-power classes ofK for all cyclic extensionsK/F of degreep.

Galois embedding problems with cyclic quotient of orderp

AbstractLetK/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 subgroups are indecomposable

Detecting pro-p-groups that are not absolute Galois groups

\mathbb{F}_p \left[ {Gal\left( {K/F} \right)} \right] - modules

Galois modules appearing as pth-power classes of units of extensions of degree p

. For these embedding problems we prove conditions on solvability, formulas for explicit construction, and results on automatic realizability.

Demuškin groups, Galois modules, and the Elementary Type Conjecture

In the mid-1960s Borevi

QUADRATIC CORESTRICTION, -EMBEDDING PROBLEMS, AND EXPLICIT CONSTRUCTION

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Cohomological Dimension and Schreier's Formula in Galois Cohomology

v\{c\} and Faddeev initiated the study of the Galois module structure of groups of \

Hilbert 90 for Galois Cohomology

p\