Integral Representations and Applications

Inhaltsverzeichnis

• 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.