Integral Representations and Applications: Proceedings of a Conference held at Oberwolfach, Germany, June 22–28, 1980 [1 ed.]
9780387108803, 0-387-10880-7 [DJVU]
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