On the Christensen-Wang bounds for the ghost number of a p-group algebra
arXiv:1502.05727 · doi:10.1515/jgth-2015-0050
Abstract
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.