Previous Page Next Page Page 20 of 30 Question 20 (Mandatory) (3.5 points) Saved (Show your work.) Which of the following is a generator (or primitive element) of the group Z₁ * '11 a) 6 b) 3 c) 4 ○ d) 1 Previous Page Next Page Page 20 of 30

Q: Is {0, 2, 4, 6} a subgroup of Zg? Justify your answer.

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Q: How many elements of order 2 does the symmetric group S4 contain?

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Q: How many subgroups are there in Z/14Z?

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Q: 10. If 4,42..a, is an element in a group, what is (4,az..a,) = ?

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Q: 7. Think about a mod 4 clock, with the numbers {0,1,2,3}. Is it a group for ?®? Can it be made into…

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