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arxiv: 1502.05727 · v1 · pith:RETKWKHInew · submitted 2015-02-19 · 🧮 math.GR

On the Christensen-Wang bounds for the ghost number of a p-group algebra

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keywords algebraboundboundsghostlowernumberp-groupupper
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Christensen and Wang give conjectural upper and lower bounds for the ghost number of the group algebra of a p-group. We apply results of Koshitani and Motose on the nilpotency index of the Jacobson radical to prove the upper bound and most cases of the lower bound.

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