Combinatorics of normal sequences of braids

Mathematics – Combinatorics

Scientific paper

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Scientific paper

Many natural counting problems arise in connection with the normal form of
braids--and seem to have never been considered so far. Here we solve some of
them by analysing the normality condition in terms of the associated
permutations, their descents and the corresponding partitions. A number of
different induction schemes appear in that framework.

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