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

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Edition: 1

Series: Lecture Notes in Mathematics 882

ISBN: 9780387108803, 0-387-10880-7

Size: 3 MB (3097583 bytes)

Pages: 480/489

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William H. Gustafson (auth.), Klaus W. Roggenkamp (eds.)9780387108803, 0-387-10880-7


Table of contents :
Remarks on the history and applications of integral representations….Pages 1-36
Applications of the theory of orders to crystallographic groups….Pages 37-92
Graham Higman’s Thesis “Units in Group Rings”….Pages 93-116
On the supercentre of a group and its ring theoretic generalization….Pages 117-144
Some facts concerning integral representations of ideals in an algebraic number field….Pages 145-158
Zeta-functions of orders….Pages 159-173
The class group à la Fröhlich….Pages 174-190
The Hermitian classgroup….Pages 191-206
Frőhlich’s conjecture, logarithmic methods and Swan modules….Pages 207-218
S-groupes de Grothendieck et structure galoisienne des anneaux d’entiers….Pages 219-239
Ratios of rings of integers as Galios modules….Pages 240-246
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….Pages 247-250
Hecke actions on Picard groups and class groups….Pages 251-260
Uses of units in Whitehead groups….Pages 261-268
Integral Representations in the theory of finite CW-complexes….Pages 269-286
Lenstra’s calculation of G O (R π), and applications to Morse-Smale diffeomorphisms….Pages 287-318
Algebraic geometry of ternary quadratic forms and orders in quaternion algebras….Pages 319-325
Preprojective lattices over classical orders….Pages 326-344
Poset representations….Pages 345-356
Grothendieck groups and almost split sequences….Pages 357-368
Representation types of group rings over complete discrete valuation rings….Pages 369-389
On blocks of finite lattice type II….Pages 390-396
The Auslander-Reiten-graph of blocks with cyclic defect two….Pages 397-410
On the representation type of twisted group rings….Pages 411-414
The complexity and varieties of modules….Pages 415-422
Restricting ℤG-Lattices to elementary abelian subgroups….Pages 423-429
The lattice type of orders II: Auslander-Reinten quivers….Pages 430-477

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