On the torsion rank of divisible multiplicative groups of fields

DOI10.1016/j.jalgebra.2018.04.035zbMath1419.12003OpenAlexW2804219930WikidataQ129824593 ScholiaQ129824593MaRDI QIDQ1643180

Ethan Robinett

Publication date: 18 June 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.04.035

zbMATH Keywords

multiplicative groups of fieldstorsion-free rankdivisible abelian groups\(p\)-divisible systemstorsion rank

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Torsion-free groups, infinite rank (20K20) Field arithmetic (12E30)

Cites Work

• Multiplicative groups of Galois extensions
• On the multiplicative group of a field
• On the multiplicative semigroups of rings
• A Set of Independent Axioms for a Field and a Condition for a Group to be the Multiplicative Group of a Field
• Multiplicative Groups of Fields
• Divisible multiplicative groups of fields
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