Question

Suppose that *a *is a group element and *a*^6 = e. What are the possibilities for |*a*|? Provide reasons for your answer.

Step 1

It is known that if G be a group and *a* be any element of group G, then *n * is said to be order of *a* if *n *is the least positive integer such that *a ^{n}* =

From the definition it can be concluded that if *m *is any positive integer such that *a ^{m}* =

Step 2

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