| dc.creator | Kochloukova, DH | |
| dc.date | 2007 | |
| dc.date | 2014-11-15T07:20:41Z | |
| dc.date | 2015-11-26T16:09:53Z | |
| dc.date | 2014-11-15T07:20:41Z | |
| dc.date | 2015-11-26T16:09:53Z | |
| dc.date.accessioned | 2018-03-28T22:58:30Z | |
| dc.date.available | 2018-03-28T22:58:30Z | |
| dc.identifier | Communications In Algebra. Taylor & Francis Inc, v. 35, n. 1, n. 253, n. 259, 2007. | |
| dc.identifier | 0092-7872 | |
| dc.identifier | WOS:000244141500019 | |
| dc.identifier | 10.1080/00927870601041706 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/76501 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/76501 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/76501 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1266733 | |
| dc.description | Let G he a finitely generated group, and A a Z [G]-module of flat dimension n such that the homological invariant Sigma(n)(G, A) is not empty. We show that A has projective dimension n as a Z[G]-module. In particular, if G is a group of homological dimension hd(G) = n such that the homological invariant Sigma(n)(G, Z) is not empty, then G has cohomological dimension cd(G) = n. We show that if G is a finitely generated soluble group, the converse is true subject to taking a subgroup of finite index, i.e., the equality cd(G) = hd(G) implies that there is a subgroup H of finite index in G such that Sigma(infinity)(H, Z) not equal 0. | |
| dc.description | 35 | |
| dc.description | 1 | |
| dc.description | 253 | |
| dc.description | 259 | |
| dc.language | en | |
| dc.publisher | Taylor & Francis Inc | |
| dc.publisher | Philadelphia | |
| dc.publisher | EUA | |
| dc.relation | Communications In Algebra | |
| dc.relation | Commun. Algebr. | |
| dc.rights | fechado | |
| dc.rights | http://journalauthors.tandf.co.uk/permissions/reusingOwnWork.asp | |
| dc.source | Web of Science | |
| dc.subject | cohomological dimension | |
| dc.subject | flat dimension | |
| dc.subject | Geometric Invariant | |
| dc.subject | Valuations | |
| dc.title | A note on projective and flat dimensions and the Bieri-Neumann-Strebel-Renz Sigma-invariants | |
| dc.type | Artículos de revistas | |
