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arXiv · 0812.2789

Partial symmetry, reflection monoids and Coxeter groups

Brent Everitt·John Fountain
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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.

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Brent Everitt, John Fountain. 2008-12-16. Partial symmetry, reflection monoids and Coxeter groups. https://arxiv.org/abs/0812.2789

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