English

A recursive description of automorphism groups of inductively constructed polytopes

Group Theory 2022-06-09 v1 Combinatorics

Abstract

Polytopes are ubiquitous in different areas of mathematics. Gleason and Hubard established a factorisation theorem, stating that every abstract polytope has a unique factorisation into prime polytopes. We compute the automorphism group of a certain family of inductively constructed polytopes using the unique factorisation.

Keywords

Cite

@article{arxiv.2206.03793,
  title  = {A recursive description of automorphism groups of inductively constructed polytopes},
  author = {Lara Beßmann},
  journal= {arXiv preprint arXiv:2206.03793},
  year   = {2022}
}

Comments

10 pages, 1 figure