Find all generators of the cyclic multiplicative group of units of the given finite field. (Review Corollary
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Find all generators of the cyclic multiplicative group of units of the given finite field. (Review Corollary 6.16.)
Z17
Data from 6.16 Corollary
If a is a generator of a finite cyclic group G of order n, then the other generators of G are the elements of the form ar, where r is relatively prime to n.
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Trying 2 Z 17 we find that 2 4 1 so 2 8 1 and 2 does not generate Trying ...View the full answer
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