Free subgroups with torsion quotients and profinite subgroups with torus quotients
Copyright policy )Free subgroups with torsion quotients and profinite subgroups with torus quotients
Here “group” means abelian group. Compact connected groups contain \delta -subgroups, that is, compact totally disconnected subgroups with torus quotients, which are essential ingredients in the important Resolution Theorem, a description of compact groups. Dually, full free subgroups of discrete torsion-free groups of finite rank are studied in order to obtain a comprehensive picture of the abundance of \delta -subgroups of a protorus. Associated concepts are also considered.
- University of Hawaiʻi Sea Grant United States
- University of The Sacred Heart United States
Torsion-free groups, finite rank, resolution theorem, finite rank, General properties and structure of LCA groups, compact abelian group, Compact groups, totally disconnected, full free subgroup, profinite, torsion-free abelian group, torus quotient, Pontryagin duality
Torsion-free groups, finite rank, resolution theorem, finite rank, General properties and structure of LCA groups, compact abelian group, Compact groups, totally disconnected, full free subgroup, profinite, torsion-free abelian group, torus quotient, Pontryagin duality
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