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Generating the surface mapping class group by two elements | Mustafa Korkmaz
; | Date: |
18 Sep 2003 | Subject: | Geometric Topology; Group Theory MSC-class: 57M07; 20F38 | math.GT math.GR | Abstract: | Wajnryb proved that the mapping class group of an orientable surface is generated by two elements. We prove that one of these generators can be taken as a Dehn twist. We also prove that the extended mapping class group is generated by two elements, again one of which is a Dehn twist. Another result we prove is that the mapping class groups are also generated by two elements of finite order. | Source: | arXiv, math.GT/0309299 | Services: | Forum | Review | PDF | Favorites |
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