Epimorphisms of generalized polygons, B: The octagons

This is the second part of our study of epimorphisms with source a thick generalized $m$ -gon and target a thin generalized $m$ -gon. We classify the case $m = 8$ when the polygons are finite (in the first part (2022) we handled the cases $m = 3, 4$ and $6$ ). Then we show that the infinite case is very different, and construct examples which strongly differ from the finite case. A number of general structure theorems are obtained, and we also take a look at the infinite case for general gonality.

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Keywords

generalized polygon, generalized octagon, epimorphism, thin octagon

Mathematical Subject Classification

Primary: 20B25, 20B27, 51B25, 51E12

Milestones

Received: 25 October 2022

Revised: 28 April 2023

Accepted: 4 July 2023

Published: 13 September 2023

Authors

Joseph A. Thas
Department of Mathematics: Algebra and Geometry Ghent University Ghent Belgium

Koen Thas
Department of Mathematics: Algebra and Geometry Ghent University Ghent Belgium

Vol. 20, No. 2-3, 2023

Joseph A. Thas and Koen Thas

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification

Milestones

Authors