This article is cited in 12 papers

Separable and vector groups whose projectively invariant subgroups are fully invariant

A. R. Chekhlov

Tomsk State University, Faculty of Mechanics and Mathematics, Tomsk

Abstract: We study the abelian groups all of whose projectively invariant subgroups are fully invariant. We describe the separable and vector groups with this property.

Keywords: direct summand, fully invariant subgroup, projectively invariant subgroup.

UDC: 512.541

Received: 24.07.2008

 English version: Siberian Mathematical Journal, 2009, 50:4, 748–756

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