English

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

Group Theory 2012-05-16 v3

Abstract

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

Cite

@article{arxiv.0903.0216,
  title  = {A linear-time algorithm to compute geodesics in solvable Baumslag-Solitar groups},
  author = {Murray Elder},
  journal= {arXiv preprint arXiv:0903.0216},
  year   = {2012}
}

Comments

20 pages, 6 figures

R2 v1 2026-06-21T12:17:10.476Z