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## Homework Statement

How do i go about proving that a group is cyclic?

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- Thread starter Fairy111
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How do i go about proving that a group is cyclic?

- #2

dx

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Start with the definition of a cyclic group, and see if your group satisfies it.

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- #4

dx

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Are you familiar with Lagrange's theorem?

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- #6

dx

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Ok, now pick an element of the group G, say g not equal to 1. What are the possible orders of g?

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possible orders of g are 1 or p? Since those are the only numbers that divide the prime number p.

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dx

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Ok, thanku very much for the help:)

- #10

dx

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No problem.

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