Multiple extensions of generalized hexagons related to the simple groups McL and Co3

The groups McL, Co3 and 2 × Co3 are all contained in the automorphism group of a 2-, respectively, 3-fold extension of a generalized hexagon of order (4,1). We give a geometric characterization of these multiple extensions of this generalized hexagon.

Bibliographic Details
Main Authors: Cuypers, H., Kasikova, A., Pasechnik, Dmitrii V.
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/95693
http://hdl.handle.net/10220/9441
Description
Summary:The groups McL, Co3 and 2 × Co3 are all contained in the automorphism group of a 2-, respectively, 3-fold extension of a generalized hexagon of order (4,1). We give a geometric characterization of these multiple extensions of this generalized hexagon.