English

The finite antichain property in Coxeter groups

Combinatorics 2007-05-23 v2 Group Theory

Abstract

We prove that the weak order on an infinite Coxeter group contains infinite antichains if and only if the group is not affine.

Cite

@article{arxiv.math/0512189,
  title  = {The finite antichain property in Coxeter groups},
  author = {Axel Hultman},
  journal= {arXiv preprint arXiv:math/0512189},
  year   = {2007}
}

Comments

7 pages; minor revisions, to appear in Ark Mat

R2 v1 2026-07-22T17:28:27.068Z