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Mathematics 16 Online
OpenStudy (anonymous):

How many homomorphisms are there from Z20 onto Z10? How many are there to Z10?

OpenStudy (helder_edwin):

one would be \[\large m\mapsto m\mod10\]

OpenStudy (anonymous):

yes I know onto=4 and to=10 but how would I prove it?

OpenStudy (helder_edwin):

perhaps try counting all subgroups of Z20 of order 10

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