Prove for all n > 1 that Z/nZ is not a group under multiplication of residue classes.
Prove for all n > 1 that Z/nZ is not a group under multiplication of residue classes.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please explain the following question, I know the answer mentions that 0 has no multiplicative inverse but I cant follow it, why are we looking at 0 when the question states n has to be greater than 1? Im very confused so please if able give a full explanation. Thank you in advance.
Transcribed Image Text:Prove for all n > 1 that Z/nZ is not a group under multiplication of residue classes.
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May sound like an obvious question but how does the set contain 0 when n is greater than 1?
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