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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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1112/jlms.12875

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
University College
Role:
Author
ORCID:
0000-0003-1661-5467


Publisher:
Wiley
Journal:
Journal of the London Mathematical Society More from this journal
Volume:
109
Issue:
3
Article number:
e12875
Publication date:
2024-02-18
Acceptance date:
2023-12-30
DOI:
EISSN:
1469-7750
ISSN:
0024-6107


Language:
English
Pubs id:
1684876
Local pid:
pubs:1684876
Deposit date:
2024-06-02

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