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Mostly Finite Geometries [Minkštas viršelis]

Edited by (University of Iowa, Iowa City, IA, USA)
  • Formatas: Paperback / softback, 456 pages, aukštis x plotis: 280x210 mm, weight: 816 g
  • Serija: Lecture Notes in Pure and Applied Mathematics
  • Išleidimo metai: 06-May-1997
  • Leidėjas: CRC Press Inc
  • ISBN-10: 082470035X
  • ISBN-13: 9780824700355
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 456 pages, aukštis x plotis: 280x210 mm, weight: 816 g
  • Serija: Lecture Notes in Pure and Applied Mathematics
  • Išleidimo metai: 06-May-1997
  • Leidėjas: CRC Press Inc
  • ISBN-10: 082470035X
  • ISBN-13: 9780824700355
Kitos knygos pagal šią temą:
The proceedings of a March 1996 conference in Iowa City that focused on finite geometries, but also considered topological geometries in the infinite case. The five guest lectures cover linear systems with parallelism, the classification of four-dimensional flexible projective planes, replaceable nests, flocks of Laguerre planes and associated geometries, and ovoids and translation planes from lattices. Another two dozen contributed articles explore such topics as variations on a theme of Dembowski, inductively minimal flag-transitive geometries, flocks of quadratic and semi-elliptic cones, hyper-reguli in projective space of dimension five, and co-set representations of homogeneous geometrical structures. Annotation c. by Book News, Inc., Portland, Or.
Preface iii(8) Contributors xi(4) Conference Participants xv(2) Introduction xvii Guest Lectures 1(134) Remarks Concerning Linear Systems with Parallelism 1(8) T. G. Ostrom On the Classification of 4-Dimensional Flexible Projective Planes 9(26) Dieter Betten Replaceable Nests 35(16) G. L. Ebert Flocks of Laguerre Planes and Associated Geometries 51(72) N. L. Johnson S. E. Payne Ovoids and Translation Planes from Lattices 123(12) G. Eric Moorhouse Contributed Articles 135(286) The Construction of Generalized m-gons from Blueprints 135(4) Michael A. Abramson Variations on a Theme of Dembowski 139(30) Mauro Biliotti Norman L. Johnson On a Theorem of Hering and Two-Transitive Ovals with a Fixed External Line 169(16) A. Bonisoli Inductively Minimal Flag-Transitive Geometries 185(6) Francis Buekenhout Michel Dehon Philippe Cara Transitive Autotopism Groups and the Generalized Twisted Field Planes 191(6) Minerva Cordero Raul F. Figueroa A Family of Non-Buekenhout Unitals in the Hall Planes 197(10) Jeremy M. Dover 4-Caps in Orthogonal Spaces 207(6) John Fuelberth Athula Gunawardena A Remark on a Theorem of T. G. Ostrom 213(2) Christoph Hering Hans-Jorg Schaeffer A Note on the Aschbacher Biplanes of Order 11 215(12) Yutaka Hiramine Chihiro Suetake Arc Subgroups of Planar Singer Groups 227(8) Chat Yin Ho Structure Theory for Point-Baer and Line-Baer Collineations in Affine Planes 235(40) Vikram Jha Norman L. Johnson Flocks of Quadratic and Semi-Elliptic Cones 275(30) Norman L. Johnson Xiaobin Liu The Generalized Kantor-Knuth Flocks 305(10) Norman L. Johnson Xiaobin Liu Spreads Corresponding to Flocks of Quadrics 315(10) Norman L. Johnson Leo Storme A New Infinite Family of Extended Generalized Quadrangles 325(6) Anna Kasikova Ernest Shult Virtual Derivation 331(12) Robert A. Liebler Some Generalized Quadrangles in Characteristic 2 343(10) Geoffrey Mason Some p-Ranks Related to Geometric Structures 353(12) G. Eric Moorhouse Building a Cyclic q-Clan 365(14) S. E. Payne Tim Penttila Gordon F. Royle Hyper-Reguli in Projective Space of Dimension 5 379(4) Rolando Pomareda Parallelisms of PG(3,3) Invariant Under a Collineation of Order 5 383(8) Alan R. Prince Classical Spaces That Interact with Spreads 391(16) F. A. Sherk Coset Representation of Homogeneous Geometrical Structures 407(6) Thomas Q. Sibley Division Algebras Three-Dimensional Over Algebraic Number Fields 413(8) G. P. Wene Index 421