English

String $C$-groups with real Schur index $2$

Group Theory 2022-01-06 v1 Combinatorics Representation Theory

Abstract

We give examples of finite string CC-groups (the automorphism groups of abstract regular polytopes) that have irreducible characters of real Schur index 22. This answers a problem of Monson concerning these groups.

Keywords

Cite

@article{arxiv.2201.01313,
  title  = {String $C$-groups with real Schur index $2$},
  author = {Peter J. Cameron and Allen Herman and Dimitri Leemans},
  journal= {arXiv preprint arXiv:2201.01313},
  year   = {2022}
}

Comments

6 pages

R2 v1 2026-06-24T08:40:12.841Z