Geodesic
On separable abelian p-groups
Ars Mathematica Contemporanea, Tome 17 (2019) no. 2, pp. 467-479.

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An S-ring (a Schur ring) is said to be separable with respect to a class of groups K if every algebraic isomorphism from the S-ring in question to an S-ring over a group from K is induced by a combinatorial isomorphism. A finite group is said to be separable with respect to K if every S-ring over this group is separable with respect to K. We provide a complete classification of abelian p-groups separable with respect to the class of abelian groups.
DOI : 10.26493/1855-3974.1892.78f
Keywords: Isomorphisms, Schur rings, p-groups 
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Grigory Ryabov. On separable abelian p-groups. Ars Mathematica Contemporanea, Tome 17 (2019) no. 2, pp. 467-479. doi : 10.26493/1855-3974.1892.78f. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1892.78f/

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