Closed subgroups of compactly generated LCA groups are compactly generated

This is an update on the theorem stated in the title, where LCA abbreviates "locally compact abelian." This was proved over 50 years ago by Martin Moskowitz (1967) and independently by Sidney A. Morris (1972). The theorem does not generally hold if "abelian" is removed; in fact, it does not hold for the discrete free group on two generators. In this paper we give several results indicating when a closed subgroup of a compactly generated (not necessarily abelian) locally compact group is compactly generated. (C) 2019 Published by Elsevier B.V.