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

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dc.creatorFarley, Daniel
dc.date2007-08-09
dc.date.accessioned2026-07-07T08:23:02Z
dc.date.available2026-07-07T08:23:02Z
dc.descriptionWe 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.)
dc.description11 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0708.1334
dc.identifierhttp://arxiv.org/abs/0708.1334
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135855
dc.subjectGroup Theory
dc.subject20F69
dc.titleA Proof that Thompson's Groups have Infinitely Many Relative Ends
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