A note on groups with few isomorphism classes of subgroups
Volume 144 / 2016
Colloquium Mathematicum 144 (2016), 265-271
MSC: Primary 20F50.
DOI: 10.4064/cm6779-1-2016
Published online: 23 March 2016
Abstract
The structure of infinite groups in which any two (proper) subgroups of the same cardinality are isomorphic is described within the universe of locally graded groups. The corresponding problem for finite groups was considered by R. Armstrong (1958).