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Nico Bellic
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A representation of a finite group where every nonzero vector has a trivial stabilizer

What are the finite groups which admit a non-zero representation in char 0 where every non-zero vector has stabilizer equal to $\left<1\right>$ ? Cyclic groups of prime order is one obvious class. Is there anything else?

Nico Bellic
  • 635
  • 4
  • 12