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## Homework Statement

http://img515.imageshack.us/img515/5954/asdaii.jpg [Broken]

## Homework Equations

Y(a)Y(b)= Y(ab)

Z

_{10}= {1,3,7,9}

Z

_{8}= {1,3,5,7}

## The Attempt at a Solution

Y(1)=1

Y(3)=3

Y(7)=5

Y(9)=7 Y(9.7)=Y(3)=3

Y(x)=(x-1)(x-3) + x works

Y(7) = 24 + 7 = 7 (since its in Z8)

Y(9) = 57 = 1

but how can you find ALL of these homomorphisms?

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