On groups of finite rank
We study the structure of groups of finite (Prufer) rank in a very wide class of groups and also of central extensions of such groups. As a result we are able to improve, often substantially, on a number of known numerical bounds, in particular on bounds for the rank (resp. Hirsch number) of the der...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | catalán |
| OAI Identifier: | oai:ddd.uab.cat:248609 |
| Acceso en línea: | https://ddd.uab.cat/record/248609 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6522106 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite pr¨ufer rank Generalized soluble Generalized finite groups |
| Sumario: | We study the structure of groups of finite (Prufer) rank in a very wide class of groups and also of central extensions of such groups. As a result we are able to improve, often substantially, on a number of known numerical bounds, in particular on bounds for the rank (resp. Hirsch number) of the derived subgroup of a group in terms of the rank (resp. Hirsch number) of its central quotient and on bounds for the rank of a group in terms of its Hirsch number. |
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