Use Exercise 27 to determine the number of abelian groups (up to isomorphism) of order (10) 5
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Use Exercise 27 to determine the number of abelian groups (up to isomorphism) of order (10)5.
Data from exercise 27
Following the idea suggested in Exercise 26, let m and n be relatively prime positive integers. Show that if there are (up to isomorphism) r abelian groups of order m ands of order n, then there are (up to isomorphism) r s abelian groups of order mn.
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Exercise 27 states that if m and n are relatively prime positive integers and ther...View the full answer
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