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Groups with Steinberg relations and coordinatization of polygonal geometries

About this Title

John R. Faulkner

Publication: Memoirs of the American Mathematical Society
Publication Year: 1977; Volume 10, Number 185
ISBNs: 978-0-8218-2185-5 (print); 978-1-4704-0051-4 (online)
DOI: https://doi.org/10.1090/memo/0185
MathSciNet review: 0513804

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Table of Contents

Chapters

  • Introduction
  • 1. Groups with Steinberg relations
  • 2. Groups of type $A_2$
  • 3. Groups of type $G_2$
  • 4. A Jordan algebra construction
  • 5. Groups of type $B_2$
  • 6. Groups of type $BC_2$
  • 7. Groups of rank three and larger
  • 8. Polygonal geometries
  • 9. Coordinatization of projective planes
  • 10. Coordinatization of hexagonal geometries
  • 11. Coordinatization of quadrilateral geometries
  • 12. A Lie algebra construction
  • 13. A construction of hexagonal geometries