The twist subgroup of the mapping class group of a nonorientable surface

Details The twist subgroup of the mapping class group of a nonorientable surface The twist subgroup of the mapping class group of a nonorientable surface

2007-09-18

arxiv.org/abs/0709.2798v1

Mathematics

Geometric Topology

Scientific paper

Let T(N) be the subgroup of the mapping class group of a nonorientable
surface N (possibly with punctures and/or boundary components) generated by
twists about two-sided circles. We obtain a simple generating set for T(N). As
an application we compute the first homology group (abelianization) of T(N).

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