The class group of all cyclotomic integers

DOI10.1016/0022-4049(81)90086-4zbMath0476.12006OpenAlexW2019993232MaRDI QIDQ1160231

Armand Brumer

Publication date: 1981

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(81)90086-4

zbMATH Keywords

Picard groupGalois module structureideal class groupcyclotomic integers

Mathematics Subject Classification ID

Galois theory (11R32) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Algebraic numbers; rings of algebraic integers (11R04) Picard groups (14C22) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items

Cohomology of class groups of cyclotomic fields; an application to Morse- Smale diffeomorphisms ⋮ On the ideal class groups of the maximal cyclotomic extensions of algebraic number fields ⋮ Visibility of ideal classes ⋮ On minus quotients of ideal class groups of cyclotomic fields ⋮ Unnamed Item ⋮ On unramified Galois extensions over maximum abelian extensions of algebraic number fields

Cites Work

• On unramified Galois extensions of quadratic number fields
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