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Asymptotic dimension of finitely presented groups
Author(s):
Thanos
Gentimis
Journal:
Proc. Amer. Math. Soc.
136
(2008),
4103-4110.
MSC (2000):
Primary 20F65, 20F69
Posted:
July 17, 2008
MathSciNet review:
2431020
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Abstract:
We prove that if a finitely presented group is one-ended, then its asymptotic dimension is greater than  . It follows that a finitely presented group of asymptotic dimension  is virtually free.
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Additional Information:
Thanos
Gentimis
Affiliation:
Department of Mathematics, University of Florida, Gainesville, Florida 32611
Email:
thanos@ufl.edu
DOI:
10.1090/S0002-9939-08-08973-9
PII:
S 0002-9939(08)08973-9
Keywords:
Dimension theory,
asymptotic dimension,
finitely presented group
Received by editor(s):
August 15, 2005,
Received by editor(s) in revised form:
August 29, 2006
Posted:
July 17, 2008
Additional Notes:
Research supported by the program ’EPEAEK-Pythagoras’ (75% European grant, 25% Greek national grant)
Communicated by:
Alexander N. Dranishnikov
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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