The Main Decomposition of Finite-Dimensional Protori
Group Theory
2018-09-14 v1
Abstract
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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Cite
@article{arxiv.1809.04627,
title = {The Main Decomposition of Finite-Dimensional Protori},
author = {Wayne Lewis and Adolf Mader},
journal= {arXiv preprint arXiv:1809.04627},
year = {2018}
}
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6 pages