Krupiński, Krzysztof Abelian profinite groups. (English) Zbl 1105.03031 Fundam. Math. 185, No. 1, 41-59 (2005). Author’s summary: We investigate abelian profinite groups as profinite structures in the sense of Newelski. We show that each abelian profinite group of finite exponent, which is the inverse limit of a system indexed by \(\omega\) and considered with the standard structural group, is small, \(m\)-normal and \(m\)-stable. We also obtain similar results for abelian profinite groups with some nonstandard structural groups. Reviewer: Yuri Movsisyan (Yerevan) Cited in 5 Documents MSC: 03C45 Classification theory, stability, and related concepts in model theory 20E18 Limits, profinite groups Keywords:small profinite groups; abelian profinite groups; abelian structures PDFBibTeX XMLCite \textit{K. Krupiński}, Fundam. Math. 185, No. 1, 41--59 (2005; Zbl 1105.03031) Full Text: DOI