Partial symmetry, reflection monoids and Coxeter groups

Mathematics – Group Theory

Scientific paper

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This is a completely reorganized and rewritten version of our earlier paper math/0701313v2, with a number of new results

Scientific paper

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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