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A linear-time algorithm to compute geodesics in ... - Project Euclid

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128 M. ELDER[4] D. B. A. Epste<strong>in</strong>, J. W. Cannon, D. F. Holt, S. V. F. Levy, M. S. Paterson andW. P. Thurs<strong>to</strong>n, Word process<strong>in</strong>g <strong>in</strong> groups, Jones and Bartlett Publishers, Bos<strong>to</strong>n,MA, 1992. MR 1161694[5] J.R.J.Groves,M<strong>in</strong>imal length normal forms for some soluble groups, J. Pure Appl.Algebra 114 (1996), 51–58. MR 1425318[6] C. F. Miller III, Normal forms for some soluble Baumslag–Solitar groups, unpublishedmanuscript, 1997.[7] A. Myasnikov, V. Roman’kov, A. Ushakov and A. Vershik, The word and geodesicproblems <strong>in</strong> free solvable groups, Trans. Amer. Math. Soc. 362 (2010), 4655–4682.MR 2645045Murray Elder, University of Newcastle, Department of Mathematics,Callaghan NSW 2308, AustraliaE-mail address: murrayelder@gmail.com

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