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The filling length of an edge-circuit \eta in the Cayley 2-complex of a finite presentation of a group is the minimal integer length L such that there is a combinatorial null-homotopy of \eta down to ...
Bounding reflection length in an affine Coxeter group
reflection length affine Coxeter group
2010/12/13
In any Coxeter group, the conjugates of elements in
the standard minimal generating set are called reflections and the minimal number of reflections needed to factor a particular element is called it...