Synopsis
Ever since F. Klein designed his "Erlanger programm", geometries have been studied in close connection with their groups of automorphisms. It must be admitted that the presence of a large automorphismgroup does not always have strong implications for the incidence-th- retical behaviour of a geometry. For exampl O. H. Kegel and A. Schleiermacher [Geometriae Dedicata 2, 379 - 395 (1974)J constructed a projective plane with a transitive action of its collineation group on quadrangles, in which, nevertheless every four points generate a free subplane. However, there are several important special classes of geometries, in which strong implications are present. For instance, every finite projective plane with a doubly transitive collineation group is pappian (Theorem of Ostrom-Wagner), and every compact connected projective plane with a flag-transitive group of continuous collineations is a Moufang plane (H. Salzmann, Pac. J. Math., 217 - 234 (1975)]. Klein's point of view has been very useful for numerous incidence structures and has established an intimate connection between group theory and geometry vii P. Plaumann and K. Strambach (eds. ), Geometry - von Staudt's Point of View, vii-xi. Copyright (c) 1981 by D. Reidel Publishing Company. viii PREFACE 1. 1:1ich is a guidepost for every modern t: reat: ment of geometry. A few decades earlier than Klein's proposal, K. G. Ch. von Staudt stated a theorem which indicates a different point of view and is nowadays sometimes called the "Fundamental Theorem of Projective Geometry".
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(eds.) Geometry - von Staudt's Point of View.
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Hardcover. Etat : Sehr gut. Proceedings of the NATO Advanced Study Institut held at Bad Windsheim, July 21 - August 1, 1980. Dordrecht, Reidel (1981). gr.8°. Some figs. XI, 430 p. OCloth. with dust jacket. (edge slightly foxed).- NATO Advanced Study Institute Series.- With contributions by G. Pickert, H. Karzel, J.C. Ferrar, W. Benz, A. Barlotti, O.H. Kregel, T.G. Ostrom, H. Mäurer, H. Lüneburg, A. Wagner, E.E. Shult, H. Salzmann, R. Löwen, A. Herzer, H. Freudenthal. N° de réf. du vendeur 73629
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Geometry ? von Staudt's Point of View: Proceedings of the NATO Advanced Study Institute held at Bad Windsheim, West Germany, July 21?August 1,1980 (Nato Science Series C:, 70)
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Geometry ¿ von Staudt¿s Point of View
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Springer Netherlands Mai 1981, 1981
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Ever since F. Klein designed his 'Erlanger programm', geometries have been studied in close connection with their groups of automorphisms. It must be admitted that the presence of a large automorphismgroup does not always have strong implications for the incidence-th- retical behaviour of a geometry. For exampl~ O. H. Kegel and A. Schleiermacher [Geometriae Dedicata 2, 379 - 395 (1974)J constructed a projective plane with a transitive action of its collineation group on quadrangles, in which, nevertheless every four points generate a free subplane. However, there are several important special classes of geometries, in which strong implications are present. For instance, every finite projective plane with a doubly transitive collineation group is pappian (Theorem of Ostrom-Wagner), and every compact connected projective plane with a flag-transitive group of continuous collineations is a Moufang plane (H. Salzmann, Pac. J. Math. ~, 217 - 234 (1975)]. Klein's point of view has been very useful for numerous incidence structures and has established an intimate connection between group theory and geometry vii P. Plaumann and K. Strambach (eds. ), Geometry - von Staudt's Point of View, vii-xi. Copyright 1981 by D. Reidel Publishing Company. viii PREFACE 1. 1:1ich is a guidepost for every modern t:reat:ment of geometry. A few decades earlier than Klein's proposal, K. G. Ch. von Staudt stated a theorem which indicates a different point of view and is nowadays sometimes called the 'Fundamental Theorem of Projective Geometry'. 448 pp. Englisch. N° de réf. du vendeur 9789027712837
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Geometry - von Staudt s Point of View
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Proceedings of the NATO Advanced Study Institute, Bad Windesheim, West Germany, July 21-August 1, 1980 I: General Theory.- Projectivities in Projective Planes.- Perspectivities in Circle Geometries.- Cross-ratios in Projective and Affine Planes.- Cross. N° de réf. du vendeur 5814644
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Geometry - von Staudt's Point of View | Proceedings of the NATO Advanced Study Institute held at Bad Windsheim, West Germany, July 21-August 1,1980
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Buch. Etat : Neu. Geometry - von Staudt's Point of View | Proceedings of the NATO Advanced Study Institute held at Bad Windsheim, West Germany, July 21-August 1,1980 | K. Strambach (u. a.) | Buch | xii | Englisch | 1981 | Springer Netherland | EAN 9789027712837 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 102485582
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Geometry - von Staudt's Point of View
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Ever since F. Klein designed his 'Erlanger programm', geometries have been studied in close connection with their groups of automorphisms. It must be admitted that the presence of a large automorphismgroup does not always have strong implications for the incidence-th- retical behaviour of a geometry. For exampl~ O. H. Kegel and A. Schleiermacher [Geometriae Dedicata 2, 379 - 395 (1974)J constructed a projective plane with a transitive action of its collineation group on quadrangles, in which, nevertheless every four points generate a free subplane. However, there are several important special classes of geometries, in which strong implications are present. For instance, every finite projective plane with a doubly transitive collineation group is pappian (Theorem of Ostrom-Wagner), and every compact connected projective plane with a flag-transitive group of continuous collineations is a Moufang plane (H. Salzmann, Pac. J. Math. ~, 217 - 234 (1975)]. Klein's point of view has been very useful for numerous incidence structures and has established an intimate connection between group theory and geometry vii P. Plaumann and K. Strambach (eds. ), Geometry - von Staudt's Point of View, vii-xi. Copyright 1981 by D. Reidel Publishing Company. viii PREFACE 1. 1:1ich is a guidepost for every modern t:reat:ment of geometry. A few decades earlier than Klein's proposal, K. G. Ch. von Staudt stated a theorem which indicates a different point of view and is nowadays sometimes called the 'Fundamental Theorem of Projective Geometry'.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 448 pp. Englisch. N° de réf. du vendeur 9789027712837
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Geometry - von Staudt's Point of View : Proceedings of the NATO Advanced Study Institute held at Bad Windsheim, West Germany, July 21-August 1,1980
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ISBN 10 : 9027712832
ISBN 13 : 9789027712837
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Ever since F. Klein designed his 'Erlanger programm', geometries have been studied in close connection with their groups of automorphisms. It must be admitted that the presence of a large automorphismgroup does not always have strong implications for the incidence-th- retical behaviour of a geometry. For exampl~ O. H. Kegel and A. Schleiermacher [Geometriae Dedicata 2, 379 - 395 (1974)J constructed a projective plane with a transitive action of its collineation group on quadrangles, in which, nevertheless every four points generate a free subplane. However, there are several important special classes of geometries, in which strong implications are present. For instance, every finite projective plane with a doubly transitive collineation group is pappian (Theorem of Ostrom-Wagner), and every compact connected projective plane with a flag-transitive group of continuous collineations is a Moufang plane (H. Salzmann, Pac. J. Math. ~, 217 - 234 (1975)]. Klein's point of view has been very useful for numerous incidence structures and has established an intimate connection between group theory and geometry vii P. Plaumann and K. Strambach (eds. ), Geometry - von Staudt's Point of View, vii-xi. Copyright 1981 by D. Reidel Publishing Company. viii PREFACE 1. 1:1ich is a guidepost for every modern t:reat:ment of geometry. A few decades earlier than Klein's proposal, K. G. Ch. von Staudt stated a theorem which indicates a different point of view and is nowadays sometimes called the 'Fundamental Theorem of Projective Geometry'. N° de réf. du vendeur 9789027712837
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