The braided Ptolemy-Thompson group is finitely presented

Details The braided Ptolemy-Thompson group is finitely presented The braided Ptolemy-Thompson group is finitely presented

2005-06-20

arxiv.org/abs/math/0506397v1

Geom.Topol. 12(2008), 475-530.

Mathematics

Geometric Topology

35 p

Scientific paper

Pursueing our investigations on the relations between Thompson groups and mapping class groups, we introduce the group $T^*$ (and its further generalizations) which is an extension of the Ptolemy-Thompson group $T$ by means of the full braid group $B_{\infty}$ on infinitely many strands. We prove that it is a finitely presented group with solvable word problem, and give an explicit presentation of it.

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