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A small normal generating set for the handlebody subgroup of the Torelli group

Published 22 Jul 2016 in math.GT and math.GR | (1607.06553v1)

Abstract: We prove that the handlebody subgroup of the Torelli group of an orientable surface is generated by genus one BP-maps. As an application, we give a normal generating set for the handlebody subgroup of the level $d$ mapping class group of an orientable surface.

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