Discover the Cyclic Subgroups of U(30): Complete Guide

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SUMMARY

The cyclic subgroups of U(30) are correctly identified as {<1>,<7>,<13>,<19>,<29>}. The user's initial response included <17> and <23>, which are not part of the subgroup due to redundancy in the generated elements. The error stems from including elements that do not contribute to distinct cyclic subgroups, leading to duplicates in the user's list.

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  • Basic knowledge of modular arithmetic
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patelnjigar
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Please help me.

The question is: List the cyclic Subgroups of U(30)

My answer {<1>,<7>,<13>,<17>,<19>,<23>,<29>} however the answer key tells me {<1>,<7>,<13>,<19>,<29>} (leaving out <17>,<23>)

Where am I erroneous?
 
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where is erroneous?

The question is: List the cyclic Subgroups of U(30)

My answer {<1>,<7>,<13>,<17>,<19>,<23>,<29>} however the answer key tells me {<1>,<7>,<13>,<19>,<29>} (leaving out <17>,<23>)

Where am I erroneous?
 
You probably have duplicates.
 

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