This article is cited in 2 papers

On abelian groups with right-invariant isometries

A. R. Chekhlov

Tomsk State University, Tomsk, Russia

Abstract: We describe the reduced periodically complete groups, algebraically compact groups, and torsion-free completely decomposable groups with right-invariant monomorphisms preserving the $p$-heights of the elements of the group under study.

Keywords: automorphism, pure subgroup, $p$-height, right invariance of isometries, Ulm–Kaplansky invariants.

UDC: 512.541

Received: 04.06.2013

 English version: Siberian Mathematical Journal, 2014, 55:3, 574–577

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