On the number of non conjugate subgroups

Saharon Shelah

doi:10.1007/BF01191760

On the number of non conjugate subgroups

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

2 Scopus citations

Abstract

We shall prove that every group of cardinality א₁ has at least א₁ non conjugate subgroups, and we shall generalize this theorem to many more uncountable cardinalities. For example under GCH for every uncountable cardinal λ and every group G of cardinality λ, G has at least λ non conjugate subgroups.

Original language	English
Pages (from-to)	131-146
Number of pages	16
Journal	Algebra Universalis
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/BF01191760
State	Published - Dec 1983

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abstract = "We shall prove that every group of cardinality א1 has at least א1 non conjugate subgroups, and we shall generalize this theorem to many more uncountable cardinalities. For example under GCH for every uncountable cardinal λ and every group G of cardinality λ, G has at least λ non conjugate subgroups.",

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On the number of non conjugate subgroups

Abstract

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