Geodesic
Abelian groups with nilpotent commutators of endomorphisms
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2012), pp. 60-73

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We study classes of abelian groups with nilpotent commutators of their endomorphisms, as well as groups with a semirigid condition imposed on direct summands. We describe these groups amongst separable, vector, and algebraically compact torsion-free groups. We construct examples illustrating the distinction between considered classes of groups, as well as $E$-solvable and $E$-nilpotent groups.
Keywords: commutatorically invariant subgroup, $E$-nilpotent and $E$-solvable groups, power $E$-commutant.
Mots-clés : $E$-engelian group 
@article{IVM_2012_10_a4,
     author = {A. R. Chekhlov},
     title = {Abelian groups with nilpotent commutators of endomorphisms},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {60--73},
     publisher = {mathdoc},
     number = {10},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_10_a4/}
}
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A. R. Chekhlov. Abelian groups with nilpotent commutators of endomorphisms. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2012), pp. 60-73. http://geodesic.mathdoc.fr/item/IVM_2012_10_a4/