Extended generalized octagons and the group He

Let Γ be an extended generalized octagon such that the points of a triple {u, v, w} not on a block are pairwise adjacent if and only if the distance betweenv andw in the local generalized octagon Γu equals 3 and there is a thick line through any point of Γu. Then Γ is one of the two examples related...

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Bibliographic Details
Main Author: Pasechnik, Dmitrii V.
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/95795
http://hdl.handle.net/10220/9444
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Institution: Nanyang Technological University
Language: English
Description
Summary:Let Γ be an extended generalized octagon such that the points of a triple {u, v, w} not on a block are pairwise adjacent if and only if the distance betweenv andw in the local generalized octagon Γu equals 3 and there is a thick line through any point of Γu. Then Γ is one of the two examples related to the groups 2·L3(4).22 and He. It is also shown that Γ does not admit further extensions.