Abstract
We prove that the weak order on an infinite Coxeter group contains infinite antichains if and only if the group is not affine.
Citation
Axel Hultman. "The finite antichain property in Coxeter groups." Ark. Mat. 45 (1) 61 - 69, April 2007. https://doi.org/10.1007/s11512-006-0028-3
Information
Received: 12 December 2005; Published: April 2007
First available in Project Euclid: 31 January 2017
zbMATH: 1150.20025
MathSciNet: MR2312953
Digital Object Identifier: 10.1007/s11512-006-0028-3
Rights: 2007 © Institut Mittag-Leffler