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math.GT2004★ 2 cited
Braid groups are almost co-Hopfian
Robert W. Bell, Dan Margalit
Let B_n be the braid group on n > 3 strands. We prove that B_n modulo its center is co-Hopfian. We then show that any injective endomorphism of B_n is geometric in the sense that i…
math.GT2002
The automorphism group of the pants complex
Dan Margalit
We show that the automorphism group of the complex of pants decompositions for a surface is isomorphic to the mapping class group for that surface.