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Unformatted text preview: subgroups of G . 2. Assume G is a Fnite group. Using the characterization of nipotent from class, prove that G is nilpotent if and only if G has a subgroup of each order dividing  G  . 3. ind the upper and lower central series for A 4 and S 4 . 1...
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 Spring '10
 Staff
 Algebra

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