A noncitizen who makes a false claim to U.S. citizenship is inadmissible for making the claim (INA 212(a)(6)(C)(ii)). The noncitizen may also be inadmissible for presence without admission or parole (INA 212(a)(6)(A)(i)) and unlawful presence after previous immigration violations (INA 212(a)(9)(C)). More @Wikipedia
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