Mich. Comp. Laws § 168.82
The office of secretary of state or attorney general shall become vacant upon the happening of any of the following events: Death of the incumbent; his resignation; his removal from office for cause; his ceasing to be a resident of the state; his conviction of an infamous crime or an offense involving the violation of his oath of office; the decision of a competent tribunal declaring his election or appointment void; or his neglect or refusal to take and subscribe to the constitutional oath of office and deposit the same in the manner and within the time prescribed by law. When a vacancy shall occur in any of the said offices, a notice of such vacancy and the reason why the same exists shall, within 10 days after such vacancy occurs, be given in writing to the governor. Such notice shall be given by the secretary of state unless such vacancy occurs in the office of the secretary of state, then by the attorney general.
MCL 168.82