Abstract
We show that the normal closure of any periodic element of the mapping class group of a nonorientable surface whose order is greater than 2 contains the commutator subgroup , which for g ≥ 7 is equal to the twist subgroup, and provide necessary and sufficient conditions for the normal closures of involutions to contain the twist subgroup. Finally, we provide a criterion for a periodic element to normally generate M ( N g ) and give examples.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
