George Olah was awarded the 1994 Nobel Prize in Chemistry for his research involving carbocations. An interesting series of carbocation rearrangements studied by Olah is shown below (J. Org. Chem., 1980, 45, 965-969). Each of these rearrangements is accomplished via the migration of a methylene (CH2) group, rather than a methyl group. For each step, draw a curved arrow showing the migration of the methylene group.
CH3