We show that every finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group is a group algebra, except for the Fischer group Fi22, the Baby Monster and the Monster. For these three groups, we give a short list of irreducible Yetter-Drinfeld modules whose Nichols algebra is not known to be finite-dimensional.
@article{arxiv.1001.1108,
title = {Pointed Hopf algebras over the sporadic simple groups},
author = {N. Andruskiewitsch and F. Fantino and M. Graña and L. Vendramin},
journal= {arXiv preprint arXiv:1001.1108},
year = {2010}
}