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Jun 28, 2011 at 18:43 comment added Benjamin Steinberg If F is a finite field, you can prove there is a fixd point by using that the number of fixed points for a p-group is equal to the size of the vector space mod p and observe that 0 is a fixed point.
Jun 28, 2011 at 18:21 history answered Geoff Robinson CC BY-SA 3.0