Lagrange's theorem and generators Quiz
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5 questions, one answer each
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1. Which could be the order of a subgroup of a group of order ?
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- B.
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2. A group has order . How many elements have order ?
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- B.
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- D.
3. In a cyclic group of order generated by , what is the order of ?
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4. How many generators does a cyclic group of order have?
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5. A group has a subgroup of order and a subgroup of order . What is the smallest possible order of the group?
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- D.