%0 Journal Article %T A linear-time algorithm to compute geodesics in solvable Baumslag-Solitar groups %A Murray Elder %J Mathematics %D 2009 %I arXiv %R 10.1214/10-AAP256 %X 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. %U http://arxiv.org/abs/0903.0216v3