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Integral representations and applications : proceedings of a conference held at Oberwolfach, Germany, June 22-28, 1980 / edited by Klaus W. Roggenkamp.

Contributor(s): Roggenkamp, Klaus WMaterial type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 882.Publication details: Berlin ; New York : Springer-Verlag, 1981. Description: 1 online resource (xii, 477 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540387893; 3540387897Subject(s): Algebraic number theory -- Congresses | Crystallography, Mathematical -- Congresses | Finite groups -- Congresses | Integral representations -- Congresses | Nombres algébriques, Théorie des -- Congrès | Cristallographie mathématique -- Congrès | Groupes finis -- Congrès | Représentations intégrales -- Congrès | Algebraic number theory | Crystallography, Mathematical | Finite groups | Integral representations | Darstellungstheorie | Integraldarstellung | Kongress | Matematica | Algebra associativa | Teoria dos numerosGenre/Form: Electronic books. | Conference papers and proceedings. | Oberwolfach (1980) Additional physical formats: Print version:: Integral representations and applications.DDC classification: 510.8 LOC classification: QA3 | .L28 vol. 882 | QA247Other classification: 31.24 | SI 850 Online resources: Click here to access online
Contents:
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.
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Includes bibliographical references and index.

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Print version record.

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.

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