On the Structure of Groups whose Non-Abelian Subgroups are Serial

Abstract

Necessary and sufficient conditions are given for a locally finite group to have all non-abelian subgroups serial. We also obtain results for groups whose non-abelian subgroups are permutable.

Keywords

• serial subgroup
• locally finite group
• permutable subgroup
• metahamiltonian group
• metaquasihamiltonian group