Can one characterize the amenable groups that have the property that the centralizer of every non-identity element is cyclic?
For example, must they be solvable?
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make the body self-contained, make title less prone to misreading
Arturo Magidin
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Can one characterize amenable groups with $C_G(x)$ cyclic for all $x\neq 1$?
i. m. soloveichik
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