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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.

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.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 64E
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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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