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Contents Introduction.................................................................................................................... 3 1. Preliminaries (topology & measure).................................................................... 3 2. Problems and the theorem.................................................................................... 7 3. Preliminaries (abstract groups, Cartesian products)....................................... 9 4. Preliminaries (automorphisms, duality theory).................................................. 13 5. Compact groups....................................................................................................... 15 6. Theorems on the groups $D_p$........................................................................... 18 7. A decomposition of compact groups.................................................................... 27 8. Groups in which all compact topologies are isomorphic................................ 33 9. The class M............................................................................................................... 40 10. Proof of the Main Theorem (groups of the class M)........................................ 42 11. Proof of tho Main Theorem (reduced groups).................................................. 47 12. Proof of the Main Theorem (conclusion)........................................................... 48 References.................................................................................................................... 57
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Content available remote Sur les ensembles denses de puissance minimum dans les groupes topologiques
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Content available remote On the topological structure of 0-dimensional topological groups
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Content available remote Groups whose regular representation weakly contains all unitary representations
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Content available Invariant extensions of the Haar measure
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Content available remote On positive functionals on a group algebra multiplicative on a subalgebra
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Content available remote On the spectrum of the Laplacian on the affine group of the real line
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Content available remote On locally compact topological groups of power of continuum
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Content available remote The completeness of the homeomorphisms group of a complete space
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Content available remote Les sous-groupes purs et leurs duals
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Content available remote Invariant extensions of the Lebesgue measure
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Content available remote On symmetry of group algebras of discrete nilpotent groups
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Content available remote Means and Følner condition on locally compact groups
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