Geodesic
Sporadic simple groups and quotient singularities
Izvestiya. Mathematics , Tome 77 (2013) no. 4, pp. 846-854

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We show that if a faithful irreducible representation of a central extension of a sporadic simple group with centre contained in the commutator subgroup gives rise to an exceptional (resp. weakly exceptional but not exceptional) quotient singularity, then that simple group is the Hall–Janko group (resp. the Suzuki group).
Keywords: weakly exceptional singularities, log canonical threshold, sporadic simple groups. 
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     author = {I. A. Cheltsov and K. A. Shramov},
     title = {Sporadic simple groups and quotient singularities},
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     url = {http://geodesic.mathdoc.fr/item/IM2_2013_77_4_a9/}
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I. A. Cheltsov; K. A. Shramov. Sporadic simple groups and quotient singularities. Izvestiya. Mathematics , Tome 77 (2013) no. 4, pp. 846-854. http://geodesic.mathdoc.fr/item/IM2_2013_77_4_a9/