A note on convexity properties of Thompson's group F

We prove that Thompson's group F is not minimally almost convex with respect to any generating set which is a subset of the standard infinite generating set for F and which contains x1. We use this to show that F is not almost convex with respect to any generating set which is a subset of the standard infinite generating set, generalizing results in [4]. © Gruyter 2012.

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Creator
Matthew Horak
Melanie Stein
Jennifer Taback
Date
2012-01-01
Bowdoin Department or Program
Mathematics
Access
Open access

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