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Unformatted text preview: G , then H K is a subgroup of G .. f) Any two groups of order equal to four, are isomorphic. 2. (7 pts) Show that if H,K are subgroups of an abelian group G , then the set M = { hk  h H,k K } is a subgroup of G 3. (7 pts) Write down the subgroup diagram for the cyclic group Z / 40 Z . 1...
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 Fall '08
 OGUS
 Math, Algebra

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