Geodesic
Endomorphism rings of rigid almost completely decomposable Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 7, pp. 31-47

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A necessary and sufficient condition is found for rigid almost completely decomposable Abelian groups with $p$-primary regulator quotients to have endomorphism rings isomorphic to those of the corresponding groups with cyclic regulator quotients. 
@article{FPM_2012_17_7_a2,
     author = {E. A. Blagoveshchenskaya},
     title = {Endomorphism rings of rigid almost completely decomposable {Abelian} groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {31--47},
     publisher = {mathdoc},
     volume = {17},
     number = {7},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_7_a2/}
}
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E. A. Blagoveshchenskaya. Endomorphism rings of rigid almost completely decomposable Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 7, pp. 31-47. http://geodesic.mathdoc.fr/item/FPM_2012_17_7_a2/