On groups of finite Prüfer rank

Let G be a group of finite rank and π any finite set of primes. We prove that G contains a characteristic subgroup H of finite index such that every finite π-image of H is nilpotent. Our conclusions are stronger if G is also soluble.

Detalles Bibliográficos
Autor: Wehrfritz, B. A. F.
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:294999
Acceso en línea:https://ddd.uab.cat/record/294999
Access Level:acceso abierto
Palabra clave:Groups of finite Prüfer rank
Descripción
Sumario:Let G be a group of finite rank and π any finite set of primes. We prove that G contains a characteristic subgroup H of finite index such that every finite π-image of H is nilpotent. Our conclusions are stronger if G is also soluble.