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Ree geometries
-
Fabienne Haot
,
Koen Struyve
Published/Copyright:
April 13, 2010
Abstract
We introduce a rank 3 geometry for any Ree group over a not necessarily perfect field and show that its full collineation group is the automorphism group of the corresponding Ree group. A similar result holds for two rank 2 geometries obtained as a truncation of this rank 3 geometry. As an application, we show that a polarity in any Moufang generalized hexagon is unambiguously determined by its set of absolute points, or equivalently, its set of absolute lines.
Received: 2008-01-04
Published Online: 2010-04-13
Published in Print: 2011-January
© de Gruyter 2011
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Articles in the same Issue
- Semi-classical limits of the first eigenfunction and concentration on the recurrent sets of a dynamical system
- Ree geometries
- Centralisers of finite subgroups in soluble groups of type FPn
- Visibility and diameter maximization of convex bodies
- The Bergman kernel and mass equidistribution on the Siegel modular variety
- Lp boundedness for parabolic Schrödinger type operators with certain nonnegative potentials
- Weighted Strichartz estimates with angular regularity and their applications
- Classification of (1, 2)-Grassmann secant defective threefolds
