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A characterisation of virtually free groups

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We prove that a finitely generated group G is virtually free if and only if there exists a generating set for G and ะบ > 0 such that all k-locally geodesic words with respect to that generating set are geodesic.

Author(s): Gilman R.H., Hermiller S., Holt D.F.
Year: 2007

Language: English
Commentary: 51192
Pages: 7