Finite Geometries
Proceedings of the Fourth Isle of Thorns Conference
Editors: Blokhuis, A., Hirschfeld, J.W.P., Jungnickel, D., Thas, J.A. (Eds.)
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- About this book
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When? These are the proceedings of Finite Geometries, the Fourth Isle of Thorns Conference, which took place from Sunday 16 to Friday 21 July, 2000. It was organised by the editors of this volume. The Third Conference in 1990 was published as Advances in Finite Geometries and Designs by Oxford University Press and the Second Conference in 1980 was published as Finite Geometries and Designs by Cambridge University Press. The main speakers were A. R. Calderbank, P. J. Cameron, C. E. Praeger, B. Schmidt, H. Van Maldeghem. There were 64 participants and 42 contributions, all listed at the end of the volume. Conference web site http://www. maths. susx. ac. uk/Staff/JWPH/ Why? This collection of 21 articles describes the latest research and current state of the art in the following inter-linked areas: • combinatorial structures in finite projective and affine spaces, also known as Galois geometries, in which combinatorial objects such as blocking sets, spreads and partial spreads, ovoids, arcs and caps, as well as curves and hypersurfaces, are all of interest; • geometric and algebraic coding theory; • finite groups and incidence geometries, as in polar spaces, gener alized polygons and diagram geometries; • algebraic and geometric design theory, in particular designs which have interesting symmetric properties and difference sets, which play an important role, because of their close connections to both Galois geometry and coding theory.
- Table of contents (21 chapters)
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Point-Line Geometries with a Generating Set that Depends on the Underlying Field
Pages 1-25
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On a Class of Symmetric Divisible Designs which are Almost Projective Planes
Pages 27-34
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Generalized Elliptic Cubic Curves, Part 1
Pages 35-48
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Fixed Points and Cycles
Pages 49-60
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RWPRI Geometries for the Alternating Group A 8
Pages 61-97
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Table of contents (21 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Finite Geometries
- Book Subtitle
- Proceedings of the Fourth Isle of Thorns Conference
- Editors
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- Aart Blokhuis
- James W.P. Hirschfeld
- Dieter Jungnickel
- J.A. Thas
- Series Title
- Developments in Mathematics
- Series Volume
- 3
- Copyright
- 2001
- Publisher
- Springer US
- Copyright Holder
- Kluwer Academic Publishers
- eBook ISBN
- 978-1-4613-0283-4
- DOI
- 10.1007/978-1-4613-0283-4
- Hardcover ISBN
- 978-0-7923-6994-3
- Softcover ISBN
- 978-1-4613-7977-5
- Series ISSN
- 1389-2177
- Edition Number
- 1
- Number of Pages
- X, 368
- Topics
