String C-group representations of alternating groups

Authors

  • Maria Elisa Fernandes University of Aveiro, Portugal
  • Dimitri Leemans Université Libre de Bruxelles, Belgium

DOI:

https://doi.org/10.26493/1855-3974.1953.c53

Keywords:

Abstract regular polytopes, Coxeter groups, alternating groups, string C-groups

Abstract

We prove that for any integer n ≥ 12, and for every r in the interval [3, …, ⌊(n − 1) / 2⌋], the group An has a string C-group representation of rank r, and hence that the only alternating group whose set of such ranks is not an interval is A11.

Downloads

Published

2019-10-22

Issue

Vol. 17 No. 1 (2019)

Section

Articles

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/