-generation of , ,

M. Cazzola
Mathematics Institute
University of Warwick
COVENTRY CV4 7AL L. Di Martino
Dipartimento di Matematica ``F. Enriques"
Università degli Studi di Milano
Via C. Saldini 50
20133 MILANO

Abstract:

In this paper we show that the symplectic group , , , is generated by an involution and an element of order 3.

• Introduction
• Notation and statement of results
• Some geometry, and the maximal subgroups of , odd
  • Linear complexes and congruences in .
  • The orthogonal representation of .
  • The maximal subgroups of , odd.
• Proof of the Theorem
• References
• About this document ...