A survey compiling examples that support the conjecture that the Cremona dimension of a finite group over ℂ is at most its essential dimension.
Winter, The automorphism group of an extraspecial p-group, Rocky Mointain Jour- nal of Math., 2 (1972), 159–168
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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.