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arxiv: 1809.04627 · v1 · pith:XXNCUQBLnew · submitted 2018-09-12 · 🧮 math.GR

The Main Decomposition of Finite-Dimensional Protori

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keywords abelianfinite-dimensionalprotorusclassifycompactcomplementaryconnectedconsiderably
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A protorus is a compact connected abelian group. We use a result on finite rank torsion-free abelian groups and Pontryagin Duality to considerably generalize a well-known factorization of a finite-dimensional protorus into a product of a torus and a torus-free complementary factor. We also classify by types the solenoids of Hewitt and Ross.

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