- #1

gotmilk04

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## Homework Statement

Write the multiplication table of C[tex]_{6}[/tex]/C[tex]_{3}[/tex]

and identify it as a familiar group.

## Homework Equations

## The Attempt at a Solution

C[tex]_{6}[/tex]={1,[tex]\omega[/tex],[tex]\omega^2[/tex],[tex]\omega^3[/tex],[tex]\omega^4[/tex],[tex]\omega^5[/tex]}

C

_{3}={1,[tex]\omega[/tex],[tex]\omega^2[/tex]}

The cosets are C

_{3}and [tex]\omega^3[/tex]C

_{3}

I just need help making the multiplication table.