Math 420/620
Spring 2000
Exam 2
- Let
be a (the) field
of pn elements. Show that
is a cyclic group with n elements and is generated by
the automorphism
such that 
- Show that there is an
irreducible polynomial of any prescribed positive degree over
- Show that the
multiplicative subgroup of
is cyclic.
- (G) Compute
(R,Q).