In Z24, find a generator for . Suppose that

Chapter 4, Problem 13E

(choose chapter or problem)

In \(Z_{24}\),find a generator for \(\langle 21\rangle \cap\langle 10\rangle\). Suppose that |a| = 24. Find a generator for \(\left\langle a^{21}\right\rangle \cap\left\langle a^{10}\right\rangle\). In general, what is a generator for the subgroup \(\left\langle a^{m}\right\rangle \cap\left\langle a^{n}\right\rangle\)?

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