  This note is an application of classification results for finite-dimensional
Nichols algebras over groups. We apply these results to generalizations of
Fomin--Kirillov algebras to complex reflection groups. First, we focus on the
case of cyclic groups where the corresponding Nichols algebras are only
finite-dimensional up to order four, and we include results about the existence
of Weyl groupoids and finite-dimensional Nichols subalgebras for this class.
Second, recent results by Heckenberger--Vendramin [ArXiv e-prints, 1412.0857
(December 2014)] on the classification of Nichols algebras of semisimple group
type can be used to find that these algebras are infinite-dimensional for many
non-exceptional complex reflection groups in the Shephard--Todd classification.
