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Abelian profinite groups. (English) Zbl 1105.03031
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.

MSC:
03C45 Classification theory, stability, and related concepts in model theory
20E18 Limits, profinite groups
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