198 citations
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math.GT2010★ 8 cited
The lower central and derived series of the braid groups of the projective plane
Daciberg Lima Gonçalves, John Guaschi
We determine the lower central and derived series of the n-string braid groups B_n(RP^2) of the real projective plane. We are motivated in part by the study of Fadell-Neuwirth shor…
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…