Arithmeticity of the Braid Group at Roots of Unity

Details Arithmeticity of the Braid Group at Roots of Unity Arithmeticity of the Braid Group at Roots of Unity

2012-04-21

arxiv.org/abs/1204.4778v1

Mathematics

Group Theory

Scientific paper

We show that the image of the pure braid group under the monodromy action on
the homology of a cyclic covering of degree d of the projective line is an
arithmetic group provided the number of branch points is sufficiently large
compared to the degree.

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