On the isomorphism of real group algebras of abelian groups
Matematičeskie zametki, Tome 21 (1977) no. 2, pp. 229-238.

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Necessary and sufficient conditions for the isomorphism of real group algebras of arbitrary Abelian groups are found.
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     author = {S. D. Berman and V. G. Bogdan},
     title = {On the isomorphism of real group algebras of abelian groups},
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S. D. Berman; V. G. Bogdan. On the isomorphism of real group algebras of abelian groups. Matematičeskie zametki, Tome 21 (1977) no. 2, pp. 229-238. http://geodesic.mathdoc.fr/item/MZM_1977_21_2_a11/