Fröhlich, A. The Hermitian classgroup. (English) Zbl 0519.12006 Integral representations and applications, Proc. Conf., Oberwolfach 1980, Lect. Notes Math. 882, 191-206 (1981). Reviewer: J. Vernon Armitage (Durham) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 11R32 Galois theory 11R33 Integral representations related to algebraic numbers; Galois module structure of rings of integers 20C05 Group rings of finite groups and their modules (group-theoretic aspects) 11R29 Class numbers, class groups, discriminants 16S34 Group rings 11R42 Zeta functions and \(L\)-functions of number fields 11E16 General binary quadratic forms 11R52 Quaternion and other division algebras: arithmetic, zeta functions 11S70 \(K\)-theory of local fields 11R70 \(K\)-theory of global fields 20C10 Integral representations of finite groups 11S37 Langlands-Weil conjectures, nonabelian class field theory 11M06 \(\zeta (s)\) and \(L(s, \chi)\) 11L10 Jacobsthal and Brewer sums; other complete character sums Keywords:locally free class group of integers; Artin root numbers for symplectic characters; local Langlands constants; Galois Gauss sums; L-function of number fields; tame extension; algebraic theory of Hermitian modules; Galois module structure of algebraic integers; Hermitian K-theory Citations:Zbl 0469.12003; Zbl 0455.00005; Zbl 0501.12012 PDFBibTeX XML