Would you please construct a locally nilpotent group which is not nilpotent? An example of a locally nilpotent group which is not nilpotent?
Would you please construct a locally nilpotent group which is not nilpotent?
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$\begingroup$
group-theory
infinite-groups
nilpotent-groups
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1Hint: Try taking a direct product of infinitely many finite nilpotent groups. – 2012-10-27
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0@Derek: you mean "restricted direct product" (aka direct sum). (or you have a nonstandard definition of "direct product") – 2012-10-31