A Proof that Thompson's Groups have Infinitely Many Relative Ends

Details A Proof that Thompson's Groups have Infinitely Many Relative Ends A Proof that Thompson's Groups have Infinitely Many Relative Ends

2007-08-09

arxiv.org/abs/0708.1334v1

Mathematics

Group Theory

11 pages, 1 figure

Scientific paper

We show that each of Thompson's groups F, T, and V have infinitely many ends
relative to certain subgroups. We go on to show that T and V both have Serre's
property FA, i.e., any action of T or V on a tree will have a fixed point. (The
proof of the latter statement was originally due to Ken Brown, and our proof is
based on his notes.)

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