Geodesic
On Isomorphisms of Abelian Group Algebras
Canadian journal of mathematics, Tome 27 (1975) no. 1, pp. 155-161

Voir la notice de l'article provenant de la source Cambridge University Press

For F a field and G a group, let FG = F(G) be the group algebra of G over F. It is a class of finite abelian groups, F induces an equivalence relation on by are equivalent if and only if FG ⋍ FH. We will call two fields F and K equivalent on if they induce the same equivalence relation on We will say F is equivalent to isomorphism on if FG ⋍ FH if and only if G ⋍ H for any two elements . 
Spiegel, Eugene. On Isomorphisms of Abelian Group Algebras. Canadian journal of mathematics, Tome 27 (1975) no. 1, pp. 155-161. doi: 10.4153/CJM-1975-020-x
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[1] 1. May, W., Commutative group algebras, Trans. Amer. Math. Soc. 136 (1969), 139–149. Google Scholar

[2] 2. Perlis, S. and Walker, G., Abelian group algebras of finite order, Trans. Amer. Math. Soc. 68 (1950), 420–426. Google Scholar

[3] 3. Ribenboim, P., Algebraic numbers (Wiley-Interscience, New York, 1972). Google Scholar

[4] 4. Spiegel, E., Abelian p-adic group rings (to appear in Comment. Math. Helv.). Google Scholar

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