A linear-time algorithm to compute geodesics in solvable baumslag-solitar groups

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Journal Article
Illinois Journal of Mathematics, 2010, 54 (1), pp. 109 - 128
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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(nlog n) space on a random access machine. © 2011 University of Illinois.
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