Theorem 5.9. Let g (x) be a monic divisor of x" – 1 over F having degree n - k. Then g(x) is the generator polynomial for a cyclic subspace of V,(F) of dimension k.

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Proof this theorem

Theorem 5.9. Let g(x) be a monic divisor of x" -1 over F having degree n - k. Then g (x) is
the generator polynomial for a cyclic subspace of V,(F) of dimension k.
Transcribed Image Text:Theorem 5.9. Let g(x) be a monic divisor of x" -1 over F having degree n - k. Then g (x) is the generator polynomial for a cyclic subspace of V,(F) of dimension k.
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