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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.GT2010★ 27 cited
The Borsuk-Ulam theorem for maps into a surface
Daciberg Lima Gonçalves, John Guaschi
Let (X, t, S) be a triple, where S is a compact, connected surface without boundary, and t is a free cellular involution on a CW-complex X. The triple (X, t, S) is said to satisfy…