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Unsolved problems in ordered and orderable groups

V. V. Bludov, A. M. W. Glass, V. M. Kopytov, N. Ya. Medvedev · 2009 · math.GR · DOI 10.48550/arxiv.0906.2621 · arXiv 0906.2621

1 Pith paper cite this work, alongside 5 external citations. Polarity classification is still indexing.

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abstract

We provide a list of (mainly unsolved) problems in ordered and orderable groups. These were originally compiled 10 years ago by the last two authors. New problems have been added to the list. Progress on some of these is noted and references provided. A few have been solved and their solutions are noted and referenced. We hope that this submission will act as a spur to mathematicians to solve some of them!

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math.GR 1

years

2026 1

verdicts

CONDITIONAL 1

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On Some Problems from the Kourovka Notebook

math.GR · 2026-07-20 · conditional · novelty 7.0

Eight open Kourovka Notebook problems are resolved by explicit constructions and counterexamples, with proofs claimed to be formally verified in Lean.

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  • On Some Problems from the Kourovka Notebook math.GR · 2026-07-20 · conditional · none · ref 7 · internal anchor

    Eight open Kourovka Notebook problems are resolved by explicit constructions and counterexamples, with proofs claimed to be formally verified in Lean.