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William Ullery

A note on group algebras of

p

-primary abelian groups

Comment.Math.Univ.Carolinae 36,1 (1995) 11-14.

Abstract: Supposepis a prime number andRis a commutative ring with unity of characteristic 0 in whichpis not a unit. Assume thatGandHarep-primary abelian groups such that the respective group algebras RG and RH are R-isomorphic.

Under certain restrictions on the ideal structure ofR, it is shown that Gand H are isomorphic.

Keywords: commutative group algebras, isomorphism AMS Subject Classification: 20C07

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