Exponential growth of the 𝑙-rank of the class group of the maximal real subfield of cyclotomic fields

DOI10.1090/S0273-0979-1983-15082-6zbMath0519.12004OpenAlexW2100449657MaRDI QIDQ3669521

Gary Cornell

Publication date: 1983

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1983-15082-6

zbMATH Keywords

cyclotomic fieldclass numbergenus theorymaximal real subfieldinfinite class field towersecond factor of class numberreal class numberl-rank of class group

Mathematics Subject Classification ID

Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18)

Related Items (4)

Unnamed Item ⋮ Infinite families of cyclotomic function fields with any prescribed class group rank ⋮ Class groups of real cyclotomic fields ⋮ On relatively invariant circular units and Stickelberger elements

Cites Work

• Class numbers of cyclotomic fields
• Units and class groups in number theory and algebraic geometry
• The genus field and genus group in finite number fields
• Unnamed Item
• Unnamed Item

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