A simple presentation of the handlebody group of genus 2
classification
🧮 math.GT
keywords
grouppresentationhandlebodyalgorithmgenuswajnrybclasscomplicated
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Using a similar algorithm to Hatcher-Thurston's algorithm for finding a presentation of the mapping class group of a surface, Wajnryb succeeded to find a presentation for the handlebody group. This is long and complicated. In this note I simplify Wajnryb's presentation for the handlebody group of genus g = 2.
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