How to Construct Almost Free Groups

DOI10.4153/CJM-1980-090-1zbMath0413.20023OpenAlexW2095433660MaRDI QIDQ4200981

Alan H. Mekler

Publication date: 1980

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

Full work available at URL: https://doi.org/10.4153/cjm-1980-090-1

zbMATH Keywords

almost free abelian groupsalmost free groupsquotient-equivalence classseparable non-free groupsunions of chains of free groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15) Inner models, including constructibility, ordinal definability, and core models (03E45) Free nonabelian groups (20E05) Torsion-free groups, infinite rank (20K20) Subgroups of abelian groups (20K27)

Related Items (22)

Butler groups as smooth ascending unions ⋮ Totally Crawley groups ⋮ On strongly-non-reflexive groups ⋮ Categoricity results for \(L_{\infty \kappa}\)-free algebras ⋮ On pure subgroups of Cartesian products of integers ⋮ Freely indecomposable almost free groups with free abelianization ⋮ On the rank of Ext ⋮ On coherent systems of projections forN₁-separable groups ⋮ Automatic continuity of \(\aleph_1\)-free groups ⋮ Almost free groups and long Ehrenfeucht-Fraïssé games ⋮ The affinity of set theory and abelian group theory. ⋮ Almost-free groups in varieties ⋮ Almost free groups in varieties ⋮ Abelian groups ⋮ Spectra of the \(\Gamma\)-invariant of uniform modules ⋮ When Does Almost Free Imply Free? (For Groups, Transversals, etc.) ⋮ On preservation of automatic continuity ⋮ Obituary: Alan Mekler ⋮ The Structure of Groups Which are Almost the Direct Sum of Countable Abelian Groups ⋮ Semi-rigid classes of cotorsion-free Abelian groups ⋮ Finitisticn-Self-Cotilting Modules ⋮ Almost disjoint Abelian groups

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