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On Class Sums in <i>p</i>-Adic Group Rings

On Class Sums in <i>p</i>-Adic Group Rings

In this note we prove that an isomorphism of p -adic group rings of finite p -groups maps class sums onto class sums. For integral group rings this is a well known theorem of Glauberman (see [ 3; 7 ]). As an application, we show that any automorphism of the …