Countably recognizable classes of groups with restricted conjugacy classes

Document Type: Research Paper

Authors

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

2 Universita di Napoli Federico II,

Abstract

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.

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Main Subjects


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