Finite solvable groups whose Quillen complex is Cohen-Macaulay

Journal of Algebra, 322(4) (2009), 969-982
http://dx.doi.org/10.1016/j.jalgebra.2009.05.002 (preprint - http://arxiv.org/abs/math/0606234)

We prove that the p-Quillen complex of a finite solvable group with cyclic derived group is Cohen-Macaulay, if p is an odd prime. If p = 2 we prove a similar conclusion, but there is a discussion to be made.