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Jeremy Rickard
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Not every non-cyclic finite group has such a relation. E.g., the quaternion group of order 8 doesn't.

(I meant this as a comment on Alex's answer, but I don't have enough reputation to comment.)

Not every non-cyclic finite group. E.g., the quaternion group of order 8 doesn't.

Not every non-cyclic finite group has such a relation. E.g., the quaternion group of order 8 doesn't.

(I meant this as a comment on Alex's answer, but I don't have enough reputation to comment.)

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Jeremy Rickard
  • 35.2k
  • 2
  • 110
  • 151

Not every non-cyclic finite group. E.g., the quaternion group of order 8 doesn't.