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Groups generated by affine perspectivities
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Chat Yin Ho
Published/Copyright:
October 16, 2006
Abstract
Let G be a collineation group of a finite translation plane such that G is generated by perspectivities fixing a point 0. Let M be a non-abelian minimal normal subgroup of G. We show that M is uniquely determined, that the translation plane has characteristic 2, and that M ≅ L2(q), q even, or M ≅ Sz(q).
Received: 2005-05-05
Revised: 2005-06-29
Published Online: 2006-10-16
Published in Print: 2006-10-01
© Walter de Gruyter
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- Classification of generalized polarized manifolds by their nef values
- Fano manifolds of coindex four as ample sections
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Articles in the same Issue
- On the critical points of a Riemannian surface
- The extrinsic polyharmonic map heat flow in the critical dimension
- Shult sets and translation ovoids of the Hermitian surface
- Classification of generalized polarized manifolds by their nef values
- Fano manifolds of coindex four as ample sections
- Groups generated by affine perspectivities
- Definability results for the Poisson equation
- Jung's theorem for a pair of Minkowski spaces
