Find three cyclic subgroups of maximum possible order in
Chapter 8, Problem 33E(choose chapter or problem)
Find three cyclic subgroups of maximum possible order in \(Z_6 \oplus Z_{10} \oplus Z_{15}\) of the form \(\langle a\rangle \oplus\langle b\rangle \oplus\langle c\rangle\), where \(a \in Z_{6}, b \in Z_{10}\), and \(c \in Z_{15}\).
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