Groups with finitely many conjugacy classes of non-normal subgroups of infinite rank
Volume 131 / 2013
Colloquium Mathematicum 131 (2013), 233-239
MSC: Primary 20F24; Secondary 20F16.
DOI: 10.4064/cm131-2-6
Abstract
It is proved that if a locally soluble group of infinite rank has only finitely many non-trivial conjugacy classes of subgroups of infinite rank, then all its subgroups are normal.
