Geodesic
E-engelian abelian groups of step $\le2$
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2012), pp. 54-60
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It is proved that periodicity of the automorphism group or weak transitivity of an E-engelian torsion free group of step $\le2$ implies commutativity of its endomorphism ring. Some properties of the engelian ring of step $2$ are established. It is also shown that the endomorphism ring of a weakly transitive torsion free group is semiprime.
Keywords: commutator of endomorphisms, prime radical, nil radical, weakly transitive torsion free group.
Mots-clés : E-solvable group 
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A. R. Chekhlov. E-engelian abelian groups of step $\le2$. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2012), pp. 54-60. http://geodesic.mathdoc.fr/item/VTGU_2012_1_a6/

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