Mathematics > Group Theory
[Submitted on 8 Feb 2014]
Title:The $R_{\infty} property for abelian groups
View PDFAbstract:It is well known there is no finitely generated abelian group which has the $R_\infty$ property. We will show that also many non-finitely generated abelian groups do not have the $R_\infty$ property, but this does not hold for all of them. In fact we construct an uncountable number of infinite countable abelian groups which do have the $R_{\infty}$ property. We also construct an abelian group such that the cardinality of the Reidemeister classes is uncountable for any automorphism of that group. 8 pages, no figures
Submission history
From: Daciberg Goncalves Lima [view email][v1] Sat, 8 Feb 2014 16:09:22 UTC (9 KB)
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