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

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

2009-03-02

arxiv.org/abs/0903.0216v3

Mathematics

Group Theory

20 pages, 6 figures

Scientific paper

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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