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Abstract algebra Either prove or disprove the following statements. Be sure to state needed theorems or...

Abstract algebra

Either prove or disprove the following statements. Be sure to state needed theorems or supporting arguments.

Let F ⊂ G be finite fields. Then F, G have the same characteristic,say p. Moreover, if p > 0 then logp (|F|) divides logp (|G|).

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