Construction of bases for the group of cyclotomic units

DOI10.1006/jnth.1999.2443zbMath0986.11072OpenAlexW2057554485MaRDI QIDQ1970614

Marc Conrad

Publication date: 7 June 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2443

zbMATH Keywords

cyclotomic fieldfree modulebasisinvolutionrelationunit groupcyclotomic unitStickelberger ideal

Mathematics Subject Classification ID

Units and factorization (11R27) Projective and free modules and ideals in commutative rings (13C10) Cyclotomic extensions (11R18)

Related Items

Nontrivial Galois module structure of cyclotomic fields, The circular units and the Stickelberger ideal of a cyclotomic field revisited, Adelic Euler systems for \(\mathbb{G}_m\), Cyclotomic Swan subgroups and primitive roots., Circular distributions and a result of Solomon

Cites Work

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• On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field
• On the Stickelberger ideal and the circular units of a cyclotomic field
• On relations between cyclotomic units
• Die Relationenfaktorgruppen von Stickelberger-Elementen und Kreiszahlen.
• On the units of cyclotomic fields