Consider two integers a, b € Z such that ged(a, b) = 1. Show that the map o: Z/(a) → Z/(a), ñ→ bn, is an isomorphism.

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Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
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13. Consider two integers a, b € Z such that ged(a, b) = 1. Show that the map o: Z/(a) →
Z/(a), ñ → bn, is an isomorphism.
Transcribed Image Text:13. Consider two integers a, b € Z such that ged(a, b) = 1. Show that the map o: Z/(a) → Z/(a), ñ → bn, is an isomorphism.
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