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Article

Keywords:
group algebras; isomorphisms; $p$-mixed splitting groups; rings with zero characteristic
Summary:

References:
[1] D. Beers, F. Richman, E. A. Walker: Group algebras of abelian groups. Rend. Sem. Mat. Univ. Padova 69 (1983), 41–50. MR 0716984
[2] P. V. Danchev: Isomorphic semisimple group algebras. C. R. Acad. Bulg. Sci. 53 (2000), 13–14. MR 1779521 | Zbl 0964.20001
[3] P. V. Danchev: A new simple proof of the W. May’s claim: $FG$ determines $G/G_0$. Riv. Mat. Univ. Parma 1 (2002), 69–71. MR 1951976 | Zbl 1019.20002
[4] P. V. Danchev: A note on isomorphic commutative group algebras over certain rings. An. St. Univ. Ovidius Constanta 13 (2005), 69–74. MR 2230861 | Zbl 1113.20005
[5] J. M. Irwin, S. A. Khabbaz, G. Rayna: The role of the tensor product in the splitting of abelian groups. J. Algebra 14 (1970), 423–442. MR 0255675
[6] G. Karpilovsky: On some properties of group rings. J. Austral. Math. Soc., Ser. A 29 (1980), 385–392. MR 0578697 | Zbl 0432.16007
[7] W. L. May: Commutative group algebras. Trans. Amer. Math. Soc. 136 (1969), 139–149. MR 0233903 | Zbl 0182.04401
[8] W. L. May: Invariants for commutative group algebras, Ill. J. Math. 15 (1971), 525–531. MR 0286903
[9] W. L. May: Group algebras over finitely generated rings. J. Algebra 39 (1976), 483–511. MR 0399232 | Zbl 0328.16012
[10] W. L. May: Isomorphism of group algebras. J. Algebra 40 (1976), 10–18. MR 0414618 | Zbl 0329.20002
[11] W. D. Ullery: Isomorphism of group algebras. Commun. Algebra 14 (1986), 767–785. MR 0834462 | Zbl 0587.16011
[12] W. D. Ullery: On isomorphism of group algebras of torsion abelian groups. Rocky Mt. J. Math. 22 (1992), 1111–1122. MR 1183707 | Zbl 0773.16008
[13] W. D. Ullery: A note on group algebras of $p$-primary abelian groups. Comment. Math. Univ. Carol. 36 (1995), 11–14. MR 1334408 | Zbl 0828.20005
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