English

Unravelled Abstract Regular Polytopes

Group Theory 2021-05-06 v1 Combinatorics

Abstract

This paper introduces the notion of an unravelled abstract regular polytope, and proves that \SL3(q)<t>\SL_3(q) \rtimes <t>, where tt is the transpose inverse automorphism of \SL3(q)\SL_3(q), possesses such polytopes for various congruences of qq. A large number of small examples of such polytopes are given, along with extensive details of their various properties.

Keywords

Cite

@article{arxiv.2105.01921,
  title  = {Unravelled Abstract Regular Polytopes},
  author = {Robert Nicolaides and Peter Rowley},
  journal= {arXiv preprint arXiv:2105.01921},
  year   = {2021}
}
R2 v1 2026-06-24T01:47:37.243Z