When are proper subgroups of LCA groups contained in maximal ones?
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- by M. A. Khan PDF
- Proc. Amer. Math. Soc. 83 (1981), 131-137 Request permission
Abstract:
In this note we determine (1) the class of LCA groups for which every proper closed subgroup is contained in a maximal subgroup, (2) the class of LCA groups for which every proper dense subgroup is contained in a maximal subgroup, and (3) the class for which every proper subgroup is contained in a maximal one. We also determine when both an LCA group and its dual have these properties.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 131-137
- MSC: Primary 22B05; Secondary 20K27
- DOI: https://doi.org/10.1090/S0002-9939-1981-0619998-X
- MathSciNet review: 619998