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

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