Geodesic
Commutative group algebras of highly torsion-complete abelian $p$-groups
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 4, pp. 587-592.

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A new class of abelian $p$-groups with all high subgroups isomorphic is defined. Commutative modular and semisimple group algebras over such groups are examined. The results obtained continue our recent statements published in Comment. Math. Univ. Carolinae (2002).
Classification : 16S34, 16U60, 20C07, 20K10, 20K27
Keywords: high subgroups; torsion-complete groups; group algebras; direct factors 
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     title = {Commutative group algebras of highly torsion-complete abelian $p$-groups},
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Danchev, Peter. Commutative group algebras of highly torsion-complete abelian $p$-groups. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 4, pp. 587-592. http://geodesic.mathdoc.fr/item/CMUC_2003__44_4_a2/