Mapping class group of a surface is generated by two elements
From MaRDI portal
Publication:1913475
DOI10.1016/0040-9383(95)00037-2zbMath0860.57040OpenAlexW1991860951WikidataQ57254099 ScholiaQ57254099MaRDI QIDQ1913475
Publication date: 23 June 1996
Published in: Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0040-9383(95)00037-2
Related Items
Every mapping class group is generated by 6 involutions ⋮ Nonisomorphic Lefschetz fibrations on knot surgery 4-manifolds ⋮ Stable specific torsion length and periodic mapping classes ⋮ Generating the twist subgroup by involutions ⋮ A note on the generating sets for the mapping class groups ⋮ The extended mapping class group can be generated by two torsions ⋮ Generating the extended mapping class group by three involutions ⋮ The balanced superelliptic mapping class groups are generated by three elements ⋮ On the involution generators of the mapping class group of a punctured surface ⋮ Twisted fiber sums of Fintushel-Stern’s knot surgery 4-manifolds ⋮ The extended mapping class group is generated by 3 symmetries. ⋮ Generating mapping class groups of nonorientable surfaces with boundary ⋮ Hyperbolic octagons and Teichmüller space in genus 2 ⋮ The mapping class group is generated by two commutators ⋮ Small torsion generating sets for hyperelliptic mapping class groups ⋮ Generating the surface mapping class group by two elements ⋮ The mapping class group of a nonorientable surface is generated by three elements and by four involutions. ⋮ Torsion generators of the twist subgroup ⋮ A small generating set for the balanced superelliptic handlebody group ⋮ Generating the mapping class group by two torsion elements ⋮ Generating the mapping class groups by torsions ⋮ On the Jacobi group and the mapping class group of $S^3\times S^3$