Classgroups and Hermitian modules

zbMath0539.12005MaRDI QIDQ793779

Albrecht Froehlich

Publication date: 1984

Published in: Progress in Mathematics (Search for Journal in Brave)

zbMATH Keywords

group ringsGalois module structuretrace formsymplectic charactersHermitian structureroot numbersring of integerstamely ramifiedclassgroupfunctional equation of the Artin L-functionsGalois extension of number fieldsGalois Gauß sumsgeneralized Lagrange resolventHermitian classgroups of ordersInvolution algebraslocally free \({\mathbb{Z}}G\)-module

Mathematics Subject Classification ID

Galois theory (11R32) Group rings (16S34) Zeta functions and (L)-functions of number fields (11R42) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Ramification and extension theory (11S15) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) (K)-theory of global fields (11R70) Quaternion and other division algebras: arithmetic, zeta functions (11R52) General binary quadratic forms (11E16) Jacobsthal and Brewer sums; other complete character sums (11L10) Research exposition (monographs, survey articles) pertaining to mathematics in general (00-02)

Related Items (6)

Pfaffians and quadratic forms ⋮ The genus class group I ⋮ Local root numbers and Hermitian-Galois module structure of rings of integers ⋮ On the square root of the inverse different ⋮ Adams operations and fixed point theorems in \(K\)-theory of group algebras ⋮ -constants and equivariant Arakelov–Euler characteristics

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