Integral Representations and Applications: Proceedings of a Conference Held at Oberwolfach, Germany, June 22-28, 1980

ISBN-13: 9783540108801 / Angielski / Miękka / 1981 / 480 str.

Klaus W. Roggenkamp

Spis treści

Remarks on the history and applications of integral representations.- Applications of the theory of orders to crystallographic groups.- Graham Higman's Thesis “Units in Group Rings”.- On the supercentre of a group and its ring theoretic generalization.- Some facts concerning integral representations of ideals in an algebraic number field.- Zeta-functions of orders.- The class group à la Fröhlich.- The Hermitian classgroup.- Fr?hlich's conjecture, logarithmic methods and Swan modules.- S-groupes de Grothendieck et structure galoisienne des anneaux d'entiers.- Ratios of rings of integers as Galios modules.- An extension of Miyata's Theorem on the transfer map from the classgroup of a finite dihedral group to that of its cyclic maximal subgroup.- Hecke actions on Picard groups and class groups.- Uses of units in Whitehead groups.- Integral Representations in the theory of finite CW-complexes.- Lenstra's calculation of GO (R ?), and applications to Morse-Smale diffeomorphisms.- Algebraic geometry of ternary quadratic forms and orders in quaternion algebras.- Preprojective lattices over classical orders.- Poset representations.- Grothendieck groups and almost split sequences.- Representation types of group rings over complete discrete valuation rings.- On blocks of finite lattice type II.- The Auslander-Reiten-graph of blocks with cyclic defect two.- On the representation type of twisted group rings.- The complexity and varieties of modules.- Restricting ?G-Lattices to elementary abelian subgroups.- The lattice type of orders II: Auslander-Reinten quivers.