Class groups and general linear group cohomology for a ring of algebraic integers

DOI10.1007/BF02621591zbMath0885.11063OpenAlexW2093820261MaRDI QIDQ2365049

Stephen A. Mitchell

Publication date: 18 September 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174913

zbMATH Keywords

class groupsring of algebraic integersLichtenbaum-Quillen conjecturesgeneral linear group cohomology

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) (K)-theory of global fields (11R70) (K)-theory in number theory (19F99)

Cites Work

• Arrows, symmetries and representation rings
• lambda-rings and algebraic K-theory
• The generalized Burnside ring and the \(K\)-theory of a ring with roots of unity
• \(K_i\) groups of rings of algebraic integers
• Delooping classifying spaces in algebraic K-theory
• On \(\mathbb Z_{\ell}\)-extensions of algebraic number fields
• Etude de la catégorie des algèbres de Hopf commutatives connexes sur un corps. (Study of the category of connected Abelian Hopf algebras over a field)
• The spectrum of an equivariant cohomology ring. I. II
• Algebraic and Etale K-Theory
• Algebraic $K$-theory and etale cohomology
• $K$-théorie algébrique et représentations de groupes
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