Integral Representations and Applications
Springer Berlin (Verlag)
978-3-540-10880-1 (ISBN)
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.
| Erscheint lt. Verlag | 1.10.1981 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | XII, 480 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 685 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Schlagworte | Algebra • Algebraic Geometry • Field • Ganzzahlige Darstellung • Integral • quadratic form • Ring |
| ISBN-10 | 3-540-10880-7 / 3540108807 |
| ISBN-13 | 978-3-540-10880-1 / 9783540108801 |
| Zustand | Neuware |
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