Abstract
The p-adic group ring Z p ( G) of a finite p-group G is studied. It is proved that G (modulo | G|) is a maximal group of exponent a divisor of | G| contained in the unit group of Z p ( G) modulo | G| 2. Two Maranda-type theorems are proved. It is further proved that finite metabelian p-groups are characterised by their p-adic group rings.
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