8. Prove that Zp has no nontrivial subgroups if p is prime. [#26, 4.5]

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.7: Direct Sums (optional)
Problem 7E: Write 20 as the direct sum of two of its nontrivial subgroups.
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8. Prove that Zp has no nontrivial subgroups if p is prime. [#26, 4.5]
Transcribed Image Text:8. Prove that Zp has no nontrivial subgroups if p is prime. [#26, 4.5]
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