The annihilator of radical powers in the modular group ring of a -group
Abstract: We show that if is the radical of the group ring and is the exponent of , then the annihilator of is . As corollaries we show that the group ring has exactly one ideal of dimension one and if the group is cyclic, then the group ring has exactly one ideal of each dimension.
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Keywords: Modular group ring, radical, annihilator, ideal
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