Strongly t-logarithmic t-generating sets: Geometric properties of some soluble groups

2008/08/20 by Andrew D Warshall, Warshall, Andrew D
Mathematics · #20F16 (Primary) 20F65 (Secondary) #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20F16 #msc:20F65

paper · pdf · doi:10.48550/arxiv.0808.2789

34 pages

arxiv created 2008/08/20 · arxiv updated 2009/12/01

Abstract

We introduce the concept of a strongly t-logarithmic t-generating set for a Z[t,t^-1]-module, which enables us to prove that a large class of soluble groups are not almost convex. We also prove some results about dead-end depth.

Related

• Pairs of valuations and the geometry of soluble groups
• Strict dead end elements in free soluble groups
• Strong Property (T) and relatively hyperbolic groups
• Arbitrarily large finite quotients imply no uniform bound on depth
• Logarithmic Dieudonne theory