English

The centralizer of a Coxeter element

Group Theory 2020-03-02 v2

Abstract

We prove that the centralizer of a Coxeter element in an irreducible Coxeter group is the cyclic group generated by that Coxeter element.

Keywords

Cite

@article{arxiv.1912.01529,
  title  = {The centralizer of a Coxeter element},
  author = {Ruwen Hollenbach and Patrick Wegener},
  journal= {arXiv preprint arXiv:1912.01529},
  year   = {2020}
}

Comments

10 pages; v2: minor corrections and revision of section 4

R2 v1 2026-06-23T12:34:38.823Z