Demushkin groups of uncountable rank

Abstract

We extend the theory of countably generated Demushkin groups to Demushkin groups of arbitrary rank. We investigate their algebraic properties and invariants, count their isomorphism classes and study their realization as absolute Galois group. At the end, we compute their profinite completion and conclude with some results on profinite completion of absolute Galois groups.

References in corpus (1)

• Groups of p-absolute Galois type that are not absolute Galois groups