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most citedThe lower central and derived series of the braid groups of the sphere and the punctured sphere

28 citations

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math.GT2007★ 14 cited

The classification and the conjugacy classes of the finite subgroups of the sphere braid groups

Daciberg Lima Gonçalves, John Guaschi

Let n\geq 3. We classify the finite groups which are realised as subgroups of the sphere braid group B_n(S^2). Such groups must be of cohomological period 2 or 4. Depending on the…

math.GT2003

Braids in trivial braid diagrams

Patrick Dehornoy

We show that every trivial 3-strand braid diagram contains a disk, defined as a ribbon ending in opposed crossings. Under a convenient algebraic form, the result extends to every A…