Countably recognizable classes of groups with restricted conjugacy classes

Document Type : Ischia Group Theory 2016


1 Dipartimento di Matematica e Applicazioni - University of Napoli "Federico II"

2 Universita di Napoli Federico II,


A group class ${ X}$ is said to be countably recognizable if a group belongs to ${X}$ whenever all its countable subgroups lie in ${X}$‎. ‎It is proved here that most of the relevant classes of groups defined by restrictions on the conjugacy classes are countably recognizable‎.


Main Subjects

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Volume 7, Issue 1 - Serial Number 1
Proceedings of the Ischia Group Theory 2016-Part I
March 2018
Pages 5-16
  • Receive Date: 30 April 2016
  • Revise Date: 21 August 2016
  • Accept Date: 27 August 2016
  • Published Online: 01 March 2018