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arXiv · 0903.0216

A linear-time algorithm to compute geodesics in solvable Baumslag-Solitar groups

Murray Elder
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Abstract

We present an algorithm to convert a word of length $n$ in the standard generators of the solvable Baumslag-Solitar group $BS(1,p)$ into a geodesic word, which runs in linear time and $O(n\log n)$ space on a random access machine.

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Murray Elder. 2009-03-02. A linear-time algorithm to compute geodesics in solvable Baumslag-Solitar groups. https://doi.org/10.1214/10-aap256

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