This article is cited in 3 papers

On Some Classes of Nilgroups

A. R. Chekhlov

Tomsk State University

Abstract: Necessary and sufficient conditions for a direct product of connected groups (under the additional assumption that some subsets are nonmeasurable) to be a nilgroup are found.

Keywords: Abelian group, nilgroup, periodic group, divisible group, connected group, slender group, torsion-free group, quasihomogenous group.

UDC: 512.541

Received: 25.11.2009
Revised: 17.01.2011

DOI: 10.4213/mzm8642

 English version: Mathematical Notes, 2012, 91:2, 283–289

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