%0 Journal Article %T Six-dimensional exceptional quotient singularities %A Ivan Cheltsov %A Constantin Shramov %J Mathematics %D 2010 %I arXiv %X We classify six-dimensional exceptional quotient singularities and show that seven-dimensional exceptional quotient singularities do not exist. Inter alia we prove that the irreducible six-dimensional projective representation of the sporadic simple Hall--Janko group gives rise to an exceptional quotient singularity. %U http://arxiv.org/abs/1001.3863v4