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Quiz1Solutions

# Quiz1Solutions - does have[5 points E 6 If what is[5 points...

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Math 332, Spring 2010 Name: __________________________________ Quiz 1 1. [5 points] (a) List all possible generators for . ^ ") (b) List all elements of order in . ") ^ *! 2. [5 points] Let . Determine the order of . 5 5 œ 3. Write as a product of disjoint cycles. c d 5 points a ba ba b \$ & " # & % " \$ & #

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4. How many subgroups does have? [5 points] ^ '! 5. How many elements of order
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Unformatted text preview: does have? [5 points] # E % 6. If , what is ? [5 points] ! ! œ " # \$ % & ' ( ) * "! a ba ba b "( 7. Let be the group of units modulo , and let be an element of . Given that [5 points] Y %" %" B Y %" a b a b k k B œ #! B œ # B and , what is ? ( 8. Find a permutation such that and . [5 points] " " " − E œ ' œ " ) & ) # k k a b...
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Quiz1Solutions - does have[5 points E 6 If what is[5 points...

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