let be a zero of over , Show that splits over I don't understand this question because is irreducible in ( and ) so how can be its zero.
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The zero does not lie in Z_2. It lies in an extension of Z_2 containing alpha. To help solve problem note that alpha^2 is also a root in Z_2(alpha).
Originally Posted by frankdent1 let be a zero of over , Show that splits over I don't understand this question because is irreducible in ( and ) so how can be its zero. as whipflip15 suggested: show that if is a zero of then:
Last edited by NonCommAlg; April 13th 2009 at 10:48 PM.
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