On Parallel Lines and Free Group

Details On Parallel Lines and Free Group On Parallel Lines and Free Group

2009-05-08

arxiv.org/abs/0905.1178v1

Mathematics

Geometric Topology

8 pages

Scientific paper

We show that the fundamental group of the complement of an arrangement of
complex lines in the complex plane is a free group if and only if the
arrangement is a union of parallel lines.

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