English

Epimorphisms of generalized polygons B: The octagons

Combinatorics 2023-05-18 v1

Abstract

This is the second part of our study of epimorphisms with source a thick generalized mm-gon and target a thin generalized mm-gon. We classify the case m=8m = 8 when the polygons are finite (in the first part [15] we handled the cases m=3,4m = 3, 4 and 66). 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 also obtained, and we also take a look at the infinite case for general gonality.

Keywords

Cite

@article{arxiv.2305.10177,
  title  = {Epimorphisms of generalized polygons B: The octagons},
  author = {Joseph A. Thas and Koen Thas},
  journal= {arXiv preprint arXiv:2305.10177},
  year   = {2023}
}

Comments

13 pages (Submitted; October 2022). arXiv admin note: substantial text overlap with arXiv:2201.03901