Torsion generators of the twist subgroup
Copyright policy )Torsion generators of the twist subgroup
We showed that the twist subgroup of the mapping class group of a closed connected nonorientable surface of genus $g\geq13$ can be generated by two involutions and an element of order $g$ or $g-1$ depending on whether $g$ is odd or even respectively.
10 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1912.10685
Generators, relations, and presentations of groups, Topological methods in group theory, twist subgroup, torsion, Geometric Topology (math.GT), mapping class groups, Mathematics - Geometric Topology, FOS: Mathematics, generating sets, 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.), Other groups related to topology or analysis, 57N05, 20F38, 20F05, nonorientable surfaces
Generators, relations, and presentations of groups, Topological methods in group theory, twist subgroup, torsion, Geometric Topology (math.GT), mapping class groups, Mathematics - Geometric Topology, FOS: Mathematics, generating sets, 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.), Other groups related to topology or analysis, 57N05, 20F38, 20F05, nonorientable surfaces
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