On the Lie algebras associated with pure mapping class groups

Abstract

Pure braid groups and pure mapping class groups of a punctured sphere have many features in common. In the paper the graded Lie algebra of the descending central series of the pure mapping class of a sphere is studied. A simple presentation of this Lie algebra is obtained.

7 pages

References in corpus (3)

• Basis-conjugating automorphisms of a free group and associated Lie algebras
• Universal representations of braid and braid-permutation groups
• The lower central series and pseudo-Anosov dilatations