Inspired 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.
Neat locally compact abelian p-groups
F. Russo
2024-01-01
Abstract
Inspired 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.File in questo prodotto:
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