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arXiv · 0907.3258

Some geodesic problems in groups

Murray Elder·Andrew Rechnitzer
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Abstract

We consider several algorithmic problems concerning geodesics in finitely generated groups. We show that the three geodesic problems considered by Miasnikov et al [arXiv:0807.1032] are polynomial-time reducible to each other. We study two new geodesic problems which arise in a previous paper of the authors and Fusy [arXiv:0902.0202] .

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Murray Elder, Andrew Rechnitzer. 2010-09-07. Some geodesic problems in groups. https://doi.org/10.1515/gcc.2010.014

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