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Groups and Geometries

Siena Conference, September 1996

  • Conference proceedings
  • © 1998

Overview

Editors:
  1. Lino Martino
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  2. William M. Kantor
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  3. Guglielmo Lunardon
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  4. Antonio Pasini

    1. Department of Mathematics, University of Siena, Siena, Italy

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  5. Maria Clara Tamburini
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Part of the book series: Trends in Mathematics (TM)

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Table of contents (21 papers)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Quasithin Groups

    • Michael G. Aschbacher, Stephen D. Smith
    Pages 1-7

  3. The Non-canonical Gluings of two Affine Spaces

    • Barbara Baumeister, Gernot Stroth
    Pages 9-28

  4. The Geometry Far from a Residue

    • Rieuwert J. Blok, Andries E. Brouwer
    Pages 29-38

  5. On Flag-transitive Incidence Geometries of Rank 6 for the Mathieu Group M12

    • Francis Buekenhout, Michel Dehon, Dimitri Leemans
    Pages 39-54

  6. On a Connection between Ovoids on the Hyperbolic Quadric Q +(10, q) and the Lie Incidence Geometry E 6,1(q)

    • Bruce N. Cooperstein
    Pages 55-64

  7. The Residually Weakly Primitive Geometries of the Janko Group J 1

    • Harald Gottschalk, Dimitri Leemans
    Pages 65-79

  8. The First Cohomology Group and Generation of Simple Groups

    • Robert M. Guralnick, Cornelius Hoffman
    Pages 81-89

  9. A Characterization of the Hall-Janko Group J 2 by a c.L*-Geometry

    • Cécile Huybrechts, Antonio Pasini
    Pages 91-106

  10. Affine Extended Dual Polar Spaces

    • Alexander A. Ivanov
    Pages 107-121

  11. Derivable Nets May be Embedded in Nonderivable Planes

    • Norman L. Johnson
    Pages 123-144

  12. Regular Orbits and the k(GV)-Problem

    • Martin W. Liebeck
    Pages 145-148

  13. Generating Minimally Transitive Groups

    • Andrea Lucchini
    Pages 149-153

  14. Maximal Subgroups of Finite Exceptional Groups

    • Gary M. Seitz
    Pages 155-161

  15. Subgroup Structure, Fractal Dimension, and Kac-Moody Algebras

    • Aner Shalev
    Pages 163-176

  16. Aspects of Buildings

    • Ernest Shult
    Pages 177-188

  17. Generalized Quadrangles Arising from Groups Generated by Abstract Transvection Groups

    • Anja Ingrid Steinbach
    Pages 189-199

  18. Embeddings of Geometries in Finite Projective Spaces: a Survey

    • Josef A. Thas
    Pages 201-214

  19. Affine Extensions of Near Hexagons Related to the Spin Module of Type B 3

    • John van Bon, Hans Cuypers
    Pages 215-229

  20. Ovoids and Spreads Arising from Involutions

    • Hendrik Van Maldeghem
    Pages 231-236
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Keywords

About this book

On September 1-7, 1996 a conference on Groups and Geometries took place in lovely Siena, Italy. It brought together experts and interested mathematicians from numerous countries. The scientific program centered around invited exposi­ tory lectures; there also were shorter research announcements, including talks by younger researchers. The conference concerned a broad range of topics in group theory and geometry, with emphasis on recent results and open problems. Special attention was drawn to the interplay between group-theoretic methods and geometric and combinatorial ones. Expanded versions of many of the talks appear in these Proceedings. This volume is intended to provide a stimulating collection of themes for a broad range of algebraists and geometers. Among those themes, represented within the conference or these Proceedings, are aspects of the following: 1. the classification of finite simple groups, 2. the structure and properties of groups of Lie type over finite and algebraically closed fields of finite characteristic, 3. buildings, and the geometry of projective and polar spaces, and 4. geometries of sporadic simple groups. We are grateful to the authors for their efforts in providing us with manuscripts in LaTeX. Barbara Priwitzer and Thomas Hintermann, Mathematics Editors of Birkhauser, have been very helpful and supportive throughout the preparation of this volume.

Editors and Affiliations

  • Department of Mathematics, University of Siena, Siena, Italy

    Antonio Pasini

Bibliographic Information

  • Book Title: Groups and Geometries

  • Book Subtitle: Siena Conference, September 1996

  • Editors: Lino Martino, William M. Kantor, Guglielmo Lunardon, Antonio Pasini, Maria Clara Tamburini

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8819-6

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1998

  • Hardcover ISBN: 978-3-7643-5881-5Due: 01 February 1998

  • Softcover ISBN: 978-3-0348-9785-3Published: 05 December 2011

  • eBook ISBN: 978-3-0348-8819-6Published: 01 December 2013

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: XII, 266

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Algebra

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