Cohomology of class groups of cyclotomic fields; an application to Morse- Smale diffeomorphisms

DOI10.1016/0022-4049(88)90016-3zbMath0651.12004OpenAlexW1981040604MaRDI QIDQ1106268

René Schoof

Publication date: 1988

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(88)90016-3

zbMATH Keywords

Grothendieck groupclass groups of abelian number fieldscyclotomic \({\mathbb{Z}}_ 2\)-extensionobstructions for Morse-Smale diffeomorphisms

Mathematics Subject Classification ID

Iwasawa theory (11R23) Cyclotomic extensions (11R18) Grothendieck groups (category-theoretic aspects) (18F30) Galois cohomology (11R34)

Related Items (2)

Minus class groups of the fields of the 𝑙-th roots of unity ⋮ Cyclotomic units and class groups in _p-extensions of real abelian fields

Cites Work

• Grothendieck groups of Abelian group rings
• The existence of Morse-Smale diffeomorphisms
• The class group of all cyclotomic integers
• Homology theory and dynamical systems
• On unramified Galois extensions of quadratic number fields
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