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The Hermitian classgroup. (English) Zbl 0519.12006

Integral representations and applications, Proc. Conf., Oberwolfach 1980, Lect. Notes Math. 882, 191-206 (1981).

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