Demushkin groups of uncountable rank
Number Theory
2024-02-28 v3 Group Theory
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.
Keywords
Cite
@article{arxiv.2309.04007,
title = {Demushkin groups of uncountable rank},
author = {Tamar Bar-On and Nikolay Nikolov},
journal= {arXiv preprint arXiv:2309.04007},
year = {2024}
}