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arxiv: 1611.00465 · v1 · pith:HTHTEUMSnew · submitted 2016-11-02 · 🧮 math.GT · math.GR

A small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists

classification 🧮 math.GT math.GR
keywords dehnsubgrouptwisttwistsclassgeneratinggeneratorsgroup
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We give a small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists. The difference between the number of the generators and a lower bound of numbers of generators for the twist subgroup by Dehn twists is one. The lower bounds is obtained from an argument of Hirose [5].

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