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A stereogenic center isn't necessarily a chiral center. A stereogenic atom is an atom where the exchange of any two groups gives a different molecule. So this includes chiral centers and things like olefin isomers. To make an alkene with only one stereogenic center you would have to have a terminal alkene, so something like 2-methyl-1-hexene would qualify. There are a lot of posibilities though. The stereogenic center could also be a chiral carbon such as 3-methyl-1-hexene, which also only has one stereogenic center. Since the compound you want needs to be optically active then it must have a chiral center, so the latter example would be an answer.
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