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

作者：Omori Genki^*

来源：Hiroshima Mathematical Journal, 2018, 48(1): 81-88.

DOI：10.32917/hmj/1520478025

• Mapping class group
• non-orientable surface
• Dehn twist

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].

• 出版日期2018-3