Uncountable groups have many nonconjugate subgroups

DOI10.1016/0168-0072(87)90016-9zbMath0629.20001OpenAlexW2150865059MaRDI QIDQ1093728

Saharon Shelah

Publication date: 1987

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2027.42/26902

zbMATH Keywords

uncountable cardinalnumber of pairwise nonconjugate subgroups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Subgroup theorems; subgroup growth (20E07) Large cardinals (03E55)

Related Items (3)

Groups with countably many subgroups. ⋮ More on weak diamond ⋮ Some infinite Frobenius groups

Cites Work

• On the number of non conjugate subgroups
• Word problems II. The Oxford book
• Proper forcing
• Classification theory and the number of non-isomorphic models
• A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
• Model theory
• Some theorems of set theory and their topological consequences

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