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Some Groups of Finite Homological Type |
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| Authors: | Ian James Leary Müge Saadetoğlu |
| Affiliation: | (1) Department of Mathematics, The Ohio State University, 231 West 18th Avenue, Columbus, Ohio, 43210-1174, United States;(2) School of Mathematics, University of Southampton, Southampton, SO17 1BJ, United Kingdom;(3) Department of Mathematics, Eastern Mediterranean University, AS277 Gazimağusa, Mersin 10, Turkey |
| Abstract: | For each n≥ 0 we construct a torsion-free group that satisfies K.S. Brown’s FHT condition and is F n (and hence FP n ), but is not FP n+1.I. J. Leary was partially supported by NSF grant DMS-0505471.M. Saadetoğlu was supported by the British Council and by the Ohio State Mathematical Research Institute |
| Keywords: | Finite homological type Type FP Higman group Finiteness conditions |
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