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3. Show that Z10 is isomorphic to Z2 × Z5, but that Z8 is not isomorphic to Z2 × Z4.

3. Show that Z10 is isomorphic to Z2 × Z5, but that Z8 is not isomorphic to Z2 × Z4.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.1: Multiplication Properties Of Exponents
Problem 71PFA
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3. Show that Z10 is isomorphic to Z2 × Z5, but that Z8 is not isomorphic to Z2 × Z4.
Transcribed Image Text:3. Show that Z10 is isomorphic to Z2 × Z5, but that Z8 is not isomorphic to Z2 × Z4.
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