Diagrams in Categories of Partial Linear Spaces of Order Two

Abstract

In this note we define, using a universal property, the concept of diagram for a space in categories of not necessarily finite partial linear spaces of order two and prove that in the category of symplectic-type spaces all spaces have diagrams.

Key Words:

• Fischer spaces
• Partial linear spaces
• 3-transposition groups

2000 Mathematics Subject Classification:

• 51E02
• 20E02

Notes

Communicated by C. Cibils.