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.)

Z₂₃

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 a^r, where r is relatively prime to n.

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A First Course In Abstract Algebra

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Find all generators of the cyclic multiplicative group of units of the given finite field. (Review Corollary

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Trying 2 Z 23 we find that 2 2 4 2 3 8 2 4 16 2 5 9 2 6 18 2 7 13 2 8 3 2 9 6 2 1...View the full answer

A First Course In Abstract Algebra

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