Research Article

Polar Kangaroos of Type E₆

Published in: Quaestiones Mathematicae
Volume 49 , issue 3, pages: 307–333

DOI: 10.2989/16073606.2025.2581625

Author(s): Yannick NeytGhent University, Belgium, Hendrik Van MaldeghemGhent University, Belgium,

Keywords: 51E24, Spherical buildings, long root subgroup geometry, displacement spectrum, Groups of type E6,

Download full text Get new issue alerts

Abstract

A collineation of a point-line geometry is called a kangaroo if its displacement spectrum has a gap; that is, at least one certain distance smaller than the diameter of the geometry cannot occur between a point and its image. In this paper we consider kangaroos in the exceptional long root subgroup geometry of type E₆ over an arbitrary field and classify them.

« General decay results for a nonlinear Viscoelastic Timoshenko system

Polyconvolutions and their applications to Fredholm and Barbashin-type integral equations »