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arXiv.org e-Print Archive
Preprint . 2018
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2018
License: arXiv Non-Exclusive Distribution
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The Main Decomposition of Finite-Dimensional Protori

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2018Embargo end date: 01 Jan 2018Publisher:arXiv
Authors: Lewis, Wayne; Mader, Adolf;

doi: 10.48550/arxiv.1809.04627

arXiv: 1809.04627

The Main Decomposition of Finite-Dimensional Protori

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.

6 pages

Keywords

FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, 20K15, 20K20, 20K25, 22B05, 22C05, 22D35

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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