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A proof that Thompson's groups have infinitely many relative ends
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Daniel Farley
Published/Copyright:
March 15, 2011
Abstract
Each of Thompson's groups F, T, and V has infinitely many ends relative to the groups F[0, 1/2], T[0, 1/2], and V[0, 1/2) (respectively). We can therefore simplify the proof, due to Napier and Ramachandran, that F, T, and V are not Kähler groups.
Thompson's groups T and V have Serre's property FA. The original proof of this fact was due to Ken Brown.
Received: 2009-02-28
Revised: 2009-09-17
Published Online: 2011-03-15
Published in Print: 2011-September
© de Gruyter 2011
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Articles in the same Issue
- A proof that Thompson's groups have infinitely many relative ends
- Quadratic properties in group amalgams
- Stabilizers of ℝ-trees with free isometric actions of FN
- On factorizations of finite groups with ℱ-hypercentral intersections of the factors
- On the involution module of SL2(2ƒ)
- A note on element centralizers in finite Coxeter groups
- Lattice-defined classes of finite groups with modular Sylow subgroups
- On groups with all proper subgroups of finite exponent
- A case-free characterization of hyperbolic Coxeter systems
- Corrigendum: Some class size conditions implying solvability of finite groups
- On the q-tensor square of a group
