Mathematical Research Letters

Volume 27 (2020)

Number 4

Mapping class group is generated by three involutions

Pages: 1095 – 1108



Mustafa Korkmaz (Department of Mathematics, Middle East Technical University, Ankara, Turkey; and Department of Mathematics and Statistics, University of Massachusetts, Amherst, Mass., U.S.A.)


We prove that the mapping class group of a closed connected orientable surface of genus at least eight is generated by three involutions.

Received 17 April 2019

Accepted 15 January 2020

Published 14 December 2020