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Question: use this definition to answer the next four questions in...

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Use this definition to answer the next four questions. In a future abstract algebra course, you will be given the following definition: A group G is cyclic if and only if there exists a group element g such that G<g > Question1 Rewrite the underlined, italicized portion of the definition using propositional notation. None of the above Question 2 Write out what p(g) and q(g ) stand for in the last problem. If your answer did not have q(g) in it, choose NA. Do not include extra spaces or words in your response p(9) q(9) Question3 Write out the negation of the underline statement using propositional notation. Use the va button to input mathematical notation. Question 4 Write out in words what it means for a group to be not cyclic.

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