Partial symmetry, reflection monoids and Coxeter groups
Group Theory
2010-02-01 v2 Combinatorics
Abstract
This is the first of a series of papers in which we initiate and develop the theory of reflection monoids, motivated by the theory of reflection groups. The main results identify a number of important inverse semigroups as reflection monoids, introduce new examples, and determine their orders.
Keywords
Cite
@article{arxiv.0812.2789,
title = {Partial symmetry, reflection monoids and Coxeter groups},
author = {Brent Everitt and John Fountain},
journal= {arXiv preprint arXiv:0812.2789},
year = {2010}
}
Comments
This is a completely reorganized and rewritten version of our earlier paper math/0701313v2, with a number of new results