| dc.creator | Kochloukova, DH | |
| dc.date | 2006 | |
| dc.date | MAR | |
| dc.date | 2014-11-14T01:25:02Z | |
| dc.date | 2015-11-26T16:03:41Z | |
| dc.date | 2014-11-14T01:25:02Z | |
| dc.date | 2015-11-26T16:03:41Z | |
| dc.date.accessioned | 2018-03-28T22:52:54Z | |
| dc.date.available | 2018-03-28T22:52:54Z | |
| dc.identifier | Journal Of Pure And Applied Algebra. Elsevier Science Bv, v. 204, n. 3, n. 536, n. 554, 2006. | |
| dc.identifier | 0022-4049 | |
| dc.identifier | WOS:000234164300005 | |
| dc.identifier | 10.1016/j.jpaa.2005.06.008 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/67576 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/67576 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/67576 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1265323 | |
| dc.description | A group G is knot-like if it is finitely presented of deficiency 1 and has abelianization G/G' similar or equal to Z. We prove the conjecture of E. Rapaport Strasser that if a knot-like group G has a finitely generated commutator subgroup G' then G' should be free in the special case when the commutator G' is residually finite. It is a corollary of a much more general result : if G is a discrete group of geometric dimension n with a finite K(G, I)-complex Y of dimension n, Y has Euler characteristics 0, N is a normal residually finite subgroup of G, N is of homological type FPn-1 and G/N similar or equal to Z then N is of homological type FP and hence GIN has finite virtual cohomological dimension vcd(GIN) = cd (G) - cd (N). In particular either N has finite index in G or cd(N) <= cd (G) - I. Furthermore we show a pro-p version of the above result with the weaker assumption that GIN is a pro-p group of finite rank. Consequently a pro-p version of Rapaport's conjecture holds. (c) 2005 Elsevier B.V. All rights reserved. | |
| dc.description | 204 | |
| dc.description | 3 | |
| dc.description | 536 | |
| dc.description | 554 | |
| dc.language | en | |
| dc.publisher | Elsevier Science Bv | |
| dc.publisher | Amsterdam | |
| dc.publisher | Holanda | |
| dc.relation | Journal Of Pure And Applied Algebra | |
| dc.relation | J. Pure Appl. Algebr. | |
| dc.rights | fechado | |
| dc.rights | http://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy | |
| dc.source | Web of Science | |
| dc.subject | Geometric Invariants | |
| dc.subject | Profinite Groups | |
| dc.subject | Group-algebras | |
| dc.subject | Finiteness | |
| dc.subject | Rings | |
| dc.title | On a conjecture of E. Rapaport Strasser about knot-like groups and its pro-p version | |
| dc.type | Artículos de revistas | |
