- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Volume:70 Issue:2
- A note on the generating sets for the mapping class groups
A note on the generating sets for the mapping class groups
Authors : Elif DALYAN, Elif MEDETOĞULLARI
Pages : 762-772
Doi:10.31801/cfsuasmas.851539
View : 18 | Download : 21
Publication Date : 2021-12-31
Article Type : Research Paper
Abstract :In this short note, we obtain generating sets with two elements for the mapping class group of closed, oriented surfaces of genus three and four, containing elements of the lowest order known so far.Keywords : mapping class groups, generators, small order, Dehn twists