3 papers
math.GT2020
Generating the mapping class group of a nonorientable surface by three torsions
Marta Leśniak, Błażej Szepietowski
We prove that the mapping class group of a closed nonorientable surface of genus different than 4 is generated by three torsion elements. Moreover, for every…
math.GT2019
Torsion normal generators of the mapping class group of a non-orientable surface
Marta Leśniak
We show that the normal closure of any periodic element of the mapping class group of a non-orientable surface whose order is greater than 2 contains the commutator subgroup, which…
math.GT2017
Generating the mapping class group of a nonorientable surface by crosscap transpositions
Marta Leśniak, Błażej Szepietowski
A crosscap transposition is an element of the mapping class group of a nonorientable surface represented by a homeomorphism supported on a one-holed Klein bottle and swapping two c…