%0 Journal Article
%T Partial symmetry, reflection monoids and Coxeter groups
%A Brent Everitt
%A John Fountain
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0812.2789v2