Geodesic
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},
     journal = {Matemati\v{c}eskie zametki},
     pages = {229--238},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_2_a11/}
}
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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/