4. The group defined by the following table is called the group of quaternions. Use the table to determine each of the following. a. The center b. cl(a) c. cl(b) d. All cyclic subgroups e a a² a³ b ba ba² ba³ e e a a² b ba ba² ba³ a a a³ e ba ba² ba³ b a² a² a³ e a ba² ba³ b ba a³ e a a² ba³ b ba ba² b b ba³ ba² ba a² a e a³ ba ba b ba³ ba² a³ a² a e ba² ba³ ba² ba³ ba ba² b ba ba³ b e a³ a² a a e a³ a²

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