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A characterisation of virtually free groups
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Gilman, Robert H., Hermiller, Susan, Holt, Derek F. and Rees, Sarah (2007) A characterisation of virtually free groups. Archiv der Mathematik, Vol.89 (No.4). pp. 289-295. doi:10.1007/s00013-007-2206-3 ISSN 0003-889X.
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Official URL: http://dx.doi.org/10.1007/s00013-007-2206-3
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Archiv der Mathematik | ||||
Publisher: | Birkhaeuser Verlag AG | ||||
ISSN: | 0003-889X | ||||
Official Date: | October 2007 | ||||
Dates: |
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Volume: | Vol.89 | ||||
Number: | No.4 | ||||
Number of Pages: | 7 | ||||
Page Range: | pp. 289-295 | ||||
DOI: | 10.1007/s00013-007-2206-3 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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