Geodesic
E-engelian abelian groups of step~$\le2$
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2012), pp. 54-60

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{VTGU_2012_1_a6,
     author = {A. R. Chekhlov},
     title = {E-engelian abelian groups of step~$\le2$},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {54--60},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2012_1_a6/}
}
TY  - JOUR
AU  - A. R. Chekhlov
TI  - E-engelian abelian groups of step~$\le2$
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2012
SP  - 54
EP  - 60
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTGU_2012_1_a6/
LA  - ru
ID  - VTGU_2012_1_a6
ER  - 
%0 Journal Article
%A A. R. Chekhlov
%T E-engelian abelian groups of step~$\le2$
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2012
%P 54-60
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTGU_2012_1_a6/
%G ru
%F VTGU_2012_1_a6
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/