This article is cited in 9 papers

On Fully Inert Subgroups of Completely Decomposable Groups

A. R. Chekhlov

Tomsk State University

Abstract: The completely decomposable torsion-free Abelian groups with finitely many homogeneous components for which every fully inert subgroup is commensurable with a fully invariant subgroup are described.

Keywords: fully inert subgroup, fully invariant subgroup, commensurable subgroups, completely decomposable group, index of a subgroup.

UDC: 512.541

Received: 22.03.2016

DOI: 10.4213/mzm11171

 English version: Mathematical Notes, 2017, 101:2, 365–373

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