Uncountable groups have many nonconjugate subgroups

Saharon Shelah

doi:10.1016/0168-0072(87)90016-9

Uncountable groups have many nonconjugate subgroups

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We prove that any uncountable group G of power λ has at least λ subgroups not conjugate in pairs. The paper is very self-contained, assuming no knowledge except cardinal arithmetic (and the definition of an (abelian) group).

Original language	English
Pages (from-to)	153-206
Number of pages	54
Journal	Annals of Pure and Applied Logic
Volume	36
Issue number	C
DOIs	https://doi.org/10.1016/0168-0072(87)90016-9
State	Published - 1987

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title = "Uncountable groups have many nonconjugate subgroups",

abstract = "We prove that any uncountable group G of power λ has at least λ subgroups not conjugate in pairs. The paper is very self-contained, assuming no knowledge except cardinal arithmetic (and the definition of an (abelian) group).",

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JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

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Uncountable groups have many nonconjugate subgroups

Abstract

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