Universal abelian groups

Menachem Kojman; Saharon Shelah

doi:10.1007/BF02762072

Universal abelian groups

Menachem Kojman^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

12 Scopus citations

Abstract

We examine the existence of universal elements in classes of infinite abelian groups. The main method is using group invariants which are defined relative to club guessing sequences. We prove, for example:Theorem:For n≧2, there is a purely universal separable p-group in א_n if, and only if, {Mathematical expression}.

Original language	English
Pages (from-to)	113-124
Number of pages	12
Journal	Israel Journal of Mathematics
Volume	92
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02762072
State	Published - Feb 1995

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abstract = "We examine the existence of universal elements in classes of infinite abelian groups. The main method is using group invariants which are defined relative to club guessing sequences. We prove, for example:Theorem:For n≧2, there is a purely universal separable p-group in א n if, and only if, \{Mathematical expression\}.",

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AB - We examine the existence of universal elements in classes of infinite abelian groups. The main method is using group invariants which are defined relative to club guessing sequences. We prove, for example:Theorem:For n≧2, there is a purely universal separable p-group in א n if, and only if, {Mathematical expression}.

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Universal abelian groups

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