Which of the following statements about carbon migrations is (are) correct?
A) Carbon migrations never occur by a sigmatropic rearrangement.
B) Under thermal conditions, a [1,3] carbon migration that occurs suprafacially must also occur with inversion of configuration at the migrating carbon.
C) Under thermal conditions, a [1,5] carbon migration that occurs suprafacially must also occur with inversion of configuration at the migrating carbon.
D) Under thermal conditions, a carbon migration that occurs suprafacially must occur with inversion no matter the system's symmetry.
E) B, C, and D
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