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Unsolved problems in ordered and orderable groups

2009/06/15 by V. V. Bludov, Bludov, V. V., A. M. W. Glass +5 · 1 citation
Computer Science · Mathematics · #06F15 #20B27 #20E06 #20F10 #20F60 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.0906.2621

openalex publication_date 2009/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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