| dc.creator | Kochloukova, DH | |
| dc.creator | Martinez-Perez, C | |
| dc.creator | Nucinkis, BEA | |
| dc.date | 2011 | |
| dc.date | FEB | |
| dc.date | 2014-08-01T18:26:06Z | |
| dc.date | 2015-11-26T18:02:32Z | |
| dc.date | 2014-08-01T18:26:06Z | |
| dc.date | 2015-11-26T18:02:32Z | |
| dc.date.accessioned | 2018-03-29T00:44:14Z | |
| dc.date.available | 2018-03-29T00:44:14Z | |
| dc.identifier | Bulletin Of The London Mathematical Society. Oxford Univ Press, v. 43, n. 124, n. 136, 2011. | |
| dc.identifier | 0024-6093 | |
| dc.identifier | WOS:000286675800014 | |
| dc.identifier | 10.1112/blms/bdq088 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/78892 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/78892 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1292261 | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | We show that soluble groups G of type Bredon-FP(infinity) with respect to the family of all virtually cyclic subgroups of G are always virtually cyclic. In such a group centralizers of elements are of type FP(infinity). We show that this implies that the group is polycyclic. Another important ingredient of the proof is that a polycyclic-by-finite group with finitely many conjugacy classes of maximal virtually cyclic subgroups is virtually cyclic. Finally we discuss refinements of this result: we only impose the property Bredon-FP(n) for some n < 3 and restrict to abelian-by-nilpotent, abelian-by-polycyclic or (nilpotent of class 2)-by-abelian groups. | |
| dc.description | 43 | |
| dc.description | 1 | |
| dc.description | 124 | |
| dc.description | 136 | |
| dc.description | EPSRC [EP/F045395/1] | |
| dc.description | LMS [4708] | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Gobierno de Aragon | |
| dc.description | [MTM2007-68010-C03-01] | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | EPSRC [EP/F045395/1] | |
| dc.description | LMS [4708] | |
| dc.description | [MTM2007-68010-C03-01] | |
| dc.language | en | |
| dc.publisher | Oxford Univ Press | |
| dc.publisher | Oxford | |
| dc.publisher | Inglaterra | |
| dc.relation | Bulletin Of The London Mathematical Society | |
| dc.relation | Bull. London Math. Soc. | |
| dc.rights | fechado | |
| dc.rights | http://www.oxfordjournals.org/access_purchase/self-archiving_policyb.html | |
| dc.source | Web of Science | |
| dc.subject | Elementary Amenable-groups | |
| dc.subject | Subgroups | |
| dc.subject | Family | |
| dc.title | Cohomological finiteness conditions in Bredon cohomology | |
| dc.type | Artículos de revistas | |
