Let p be an odd prime number. We show that there exists a finite group of order p^{p+3} whose the mod p cycle map from the mod p Chow ring of its classifying space to its ordinary mod p cohomology is not injective.
Representation theory and the cycle map of a classifying space
Smooth quotients of abelian surfaces by finite groups
Finite groups of automorphisms of Enriques surfaces and the Mathieu group $M_{12}$
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