A Note on the Isomorphism of Modular Group Algebras of p-Mixed Abelian Groups with Divisible p-Components
نویسنده
چکیده
We give a new conceptual proof of the following classical fact due to Karpilovsky (Contemp. Math., 1982) but over finite fields: Let G be a p-mixed abelian group with divisible p-component. If F is a finite field of char(F ) = p, then FH ∼= FG as F -algebras for another group H forces that H ∼= G. Subject Classification: Primary 20C07, 16S34, 16U60; Secondary 20K10, 20K21, 20K25.
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تاریخ انتشار 2006