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

Mathematics – Group Theory

Scientific paper

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34 pages

Scientific paper

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.

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