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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2017 Volume 101, Issue 2, Pages 302–312 (Mi mzm11171)

This article is cited in 10 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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© Steklov Math. Inst. of RAS, 2026