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A characterisation of virtually free groups

Lookup NU author(s): Professor Sarah Rees

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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. © 2007 Birkhäuser Verlag Basel/Switzerland.

Publication metadata

Author(s): Gilman RH, Hermiller S, Holt DF, Rees S

Publication type: Article

Publication status: Published

Journal: Archiv der Mathematik

Year: 2007

Volume: 89

Issue: 4

Pages: 289-295

Print publication date: 01/10/2007

ISSN (print): 0003-889X

ISSN (electronic): 1420-8938

Publisher: Springer

URL: http://dx.doi.org/10.1007/s00013-007-2206-3

DOI: 10.1007/s00013-007-2206-3

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