Freely indecomposable almost free groups with free abelianization

DOI10.1515/jgth-2019-0102zbMath1471.20017arXiv1903.03334OpenAlexW3000184087WikidataQ126335808 ScholiaQ126335808MaRDI QIDQ2182115

Samuel M. Corson

Publication date: 21 May 2020

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

Full work available at URL: https://arxiv.org/abs/1903.03334

zbMATH Keywords

free groupfree productfree decompositionstrongly \(k\)-free group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Large cardinals (03E55) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Applications of set theory (03E75) Other combinatorial set theory (03E05)

Cites Work

• A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
• On constructing indecomposable groups in L
• Uncountable locally free groups and their group rings
• The abelianization of almost free groups
• On the Existence of κ-Free Abelian Groups
• How to Construct Almost Free Groups
• When Does Almost Free Imply Free? (For Groups, Transversals, etc.)
• The fine structure of the constructible hierarchy
• Almost Free Groups
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