%0 Journal Article %T Cubic ergodic averages for actions of amenable groups %A John T. Griesmer %J Mathematics %D 2008 %I arXiv %X We unify and extend some previous results about cubic ergodic averages and sets of positive density in products of groups. This provides a joint generalization of earlier work of the author in the case of two commuting actions of an amenable group, and of Q. Chu's recent result on a a finite number of commuting transformations. %U http://arxiv.org/abs/0812.2017v1