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A characterisation of virtually free groups |
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| Authors: | Robert H Gilman Susan Hermiller Derek F Holt Sarah Rees |
| Institution: | (1) Department of Mathematics, Stevens Institute of Technology, Hoboken, NJ 07030, USA;(2) Department of Mathematics, University of Nebraska, Lincoln, NE 68588-0130, USA;(3) Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK;(4) School of Mathematics and Statistics, University of Newcastle, Newcastle, NE1 7RU, UK |
| Abstract: | We prove that a finitely generated group G is virtually free if and only if there exists a generating set for G and k > 0 such that all k-locally geodesic words with respect to that generating set are geodesic. Received: 30 October 2006 |
| Keywords: | 20E06 Secondary: 20F67 |
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