A survey compiling examples that support the conjecture that the Cremona dimension of a finite group over ℂ is at most its essential dimension.
Knight, The essential p -dimension of the split finite quasi-simple groups of clas- sical Lie type
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The essential and Cremona dimensions of a group
A survey compiling examples that support the conjecture that the Cremona dimension of a finite group over ℂ is at most its essential dimension.