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Fundamental groups of real arrangements and torsion in the lower central series quotients (1704.04152v3)
Published 13 Apr 2017 in math.GT and math.AT
Abstract: By using computer assistance, we prove that the fundamental group of the complement of a real complexified line arrangement is not determined by its intersection lattice, providing a counter-example for a problem of Falk and Randell. We also deduce that the torsion of the lower central series quotients is not combinatorially determined, which gives a negative answer to a question of Suciu.
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