On CT and CSA groups and related ideas

DOI10.1515/jgth-2016-0005zbMath1375.20027arXiv1506.02636OpenAlexW2270932408MaRDI QIDQ311060

Ben Fine, Gerhard Rosenberger, Anthony M. Gaglione, Dennis Spellman

Publication date: 28 September 2016

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02636

zbMATH Keywords

commutative transitive groupconjugately separated abelian groupmonolithic group

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) General structure theorems for groups (20E34) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Algebraic geometry over groups; equations over groups (20F70)

Related Items

Profinite groups in which centralizers are abelian ⋮ Faithful real representations of groups of $F$-type

Cites Work

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• The elementary theory of groups. A guide through the proofs of the Tarski conjectures.
• Groups in which commutativity is a transitive relation
• Diophantine geometry over groups. IV: An iterative procedure for validation of a sentence.
• Diophantine geometry over groups. II: Completions, closures and formal solutions
• Diophantine geometry over groups. I: Makanin-Razborov diagrams
• Diophantine geometry over groups. III: Rigid and solid solutions.
• Diophantine geometry over groups. V\(_1\): Quantifier elimination. I.
• \(\exists\)-free groups
• Classes of Groups Generalizing a Theorem of Benjamin Baumslag
• The Nonexistence of a Certain Type of Simple Groups of Odd Order
• Varieties of groups
• Real Length Functions in Groups