Neat locally compact abelian p-groups

Abstract

AbstractInspired by a result of Kulikov about splitting of pure subgroups in discrete abelian p-groups we classify all locally compact abelian p-groups with no elements of infinite p-height in which every maximal monothetic subgroup splits. Descriptions of separable compact groups with elements of finite p-height, in which every pure monothetic subgroup splits, are obtained.