*[group theory]* In algebra, Matsumoto`s theorem, proved by {harvs|txt|first=Hideya|last=Matsumoto|author-link=Hideya Matsumoto|year=1964}, gives conditions for two reduced words of a Coxeter group to represent the same element. ==Statement== If two reduced words represent the same element of a Coxeter group, then Matsumoto`s theorem states t...

Found on http://en.wikipedia.org/wiki/Matsumoto`s_theorem_(group_theory)

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