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Letter-braiding: bridging combinatorial group theory and topology

Gadish, Nir
arXiv (All) · Papers
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20f36algebraic-topologygeometric-topologygroup-theory
We define invariants of words in arbitrary groups, measuring how letters in a word are interleaving, perfectly detecting the dimension series of a group. These are the letter-braiding invariants. On free groups, braiding invariants coincide with coefficients in the Magnus expansion. In contrast with
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