Midterm Friday May 11
Just fields, just up through Monday. You may bring a cheat sheet.
A practice question:
Let F be a finite field with 26 = 64 elements.
a. How many of them are primitive (i.e. have multiplicative order 63)?
b. Recall that Gal(F/F2) is generated by the Frobenius.
Show that it preserves the primitive elements.
c. How many orbits does Gal(F/F2) have on the set of primitive elements?
A practice question:
Let F be a finite field with 26 = 64 elements.
a. How many of them are primitive (i.e. have multiplicative order 63)?
b. Recall that Gal(F/F2) is generated by the Frobenius.
Show that it preserves the primitive elements.
c. How many orbits does Gal(F/F2) have on the set of primitive elements?
Labels: midterm
posted by Allen Knutson @ 9:55 PM
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