Simple groups with infinite verbal width and the same positive theory as free groups

DOI10.1007/s11856-022-2384-5zbMath1515.20153arXiv1911.02117OpenAlexW2989449675MaRDI QIDQ6161728

Montserrat Casals-Ruiz, Ilya V. Kazachkov, Javier de la Nuez González, Albert Garreta

Publication date: 5 June 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.02117

zbMATH Keywords

widthverbal subgroupwordpositive theoryverbally parabolic group

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• The Ore conjecture.
• Euler and Maslov cocycles
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• Characterising actions on trees yielding non-trivial quasimorphisms
• Rank-one isometries of buildings and quasi-morphisms of Kac-Moody groups.
• Finitely presented simple groups and products of trees
• On the Positive Theory of Groups Acting on Trees
• FINITELY GENERATED INFINITE SIMPLE GROUPS OF INFINITE COMMUTATOR WIDTH
• Simple Free Products

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