A note on the normal subgroups of mapping class groups

DOI10.1017/S0305004100063957zbMath0584.57008MaRDI QIDQ3706953

Darren D. Long

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

braid groupsmapping class groupBurau representationpseudo-Anosov maphomeomorphisms of surfaces3- strand braidfinitely generated linear grouptorsion Frattini subgroups

Mathematics Subject Classification ID

Related Items (16)

Normal generators for mapping class groups are abundant ⋮ The Burau representation of the braid group 𝐵_{𝑛} is unfaithful for large 𝑛 ⋮ Frattini and related subgroups of mapping class groups ⋮ Subgroups of Teichmüller modular groups and their Frattini subgroups ⋮ ENTROPIES OF BRAIDS ⋮ Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3-manifolds ⋮ Krammer representations for complex braid groups. ⋮ Strongly indecomposable finite groups. ⋮ On the generic Krammer representations. ⋮ The Faithfulness Question for the Burau Representation ⋮ On injective homomorphisms for pure braid groups, and associated Lie algebras. ⋮ On the Linear Representation of Braid Groups ⋮ Twisted book decompositions and the Goeritz groups ⋮ On the linear representation of braid groups. II ⋮ Normal all pseudo-Anosov subgroups of mapping class groups ⋮ A kernel of a braid group representation yields a knot with trivial knot polynomials

Cites Work

• On the Residual Finiteness of Certain Mapping Class Groups
• On a theorem of V. I. arnol'd

This page was built for publication: A note on the normal subgroups of mapping class groups