Integral Representations and Applications

Proceedings of a Conference held at Oberwolfach, Germany, June 22-28, 1980

AvKlaus W. Roggenkamp

Häftad, Engelska, 1981

Del 882 i serien Lecture Notes in Mathematics

482 kr

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Produktinformation

Utgivningsdatum:1981-10-01
Mått:155 x 235 x 27 mm
Vikt:739 g
Format:Häftad
Språk:Engelska, Tyska
Serie:Lecture Notes in Mathematics
Antal sidor:480
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540108801

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

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.