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Theorems of the type of Cutler for Abelian \(p\)-groups. (English) Zbl 1179.20046

The author summarises and reproves in a unified manner five significant Abelian \(p\)-group properties that were known to be preserved by quasi-isomorphism. He also discusses other related properties and poses several open problems.

MSC:

20K10 Torsion groups, primary groups and generalized primary groups
20K27 Subgroups of abelian groups
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