A nilmanifold is a specific type of manifold that can be represented as the quotient of a nilpotent Lie group by a discrete subgroup. To elaborate further: 1. **Nilpotent Lie Group**: A nilpotent Lie group is a type of Lie group where the derived series eventually leads to the trivial subgroup. This property has implications for the algebraic structure of the group and allows for a certain degree of "non-ableness".
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