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INTRANSITIVE GEOMETRIES
Published online by Cambridge University Press: 13 October 2006
Abstract
A lemma of Tits establishes a connection between the simple connectivity of an incidence geometry and the universal completion of an amalgam induced by a sufficiently transitive group of automorphisms of that geometry. In the present paper, we generalize this lemma to intransitive geometries, thus opening the door for numerous applications. We treat ourselves some amalgams related to intransitive actions of finite orthogonal groups, as a first class of examples.
- Type
- Research Article
- Information
- Proceedings of the London Mathematical Society , Volume 93 , Issue 3 , November 2006 , pp. 666 - 692
- Copyright
- 2006 London Mathematical Society
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