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Licensed Unlicensed Requires Authentication Published by De Gruyter October 16, 2006

Groups generated by affine perspectivities

  • Chat Yin Ho
From the journal Advances in Geometry

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 ML2(q), q even, or M ≅ Sz(q).


(Communicated by W. M. Kantor)


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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