Unformatted text preview: = G/J × H/K . [ Suggestion: Use the ﬁrst isomorphism theorem.] c. Is every subgroup of G × H of the form J × K ? Exercise 7. If m and n are not relatively prime show that Z m × Z n is not cyclic. Exercise 8. Lang, II.4.29....
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 Spring '10
 RyanDaileda
 Algebra, Group Theory, j G, ﬁrst isomorphism theorem

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