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Let $G$ be a polycyclic group and assume that every finite quotient of $G$ is nilpotent. Then $G$ is nilpotent

group-theory infinite-groups nilpotent-groups asked Dec 22 '18 at 12:37

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Vect$_{\mathbb{R}}$ is equivalent to the category of $T$ algebras for a monad Set $\to$ Set.

category-theory equivalence-relations monads asked Jan 14 at 0:26

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Applications of one of Serre's Theorems

cohomology group-cohomology profinite-groups asked Mar 18 at 22:15

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When and how did the term “Nazi” start replacing the term “Germans” in the context of WW2?

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Prove or disprove: If $A$ is $n\times n$ and $\exists\;m\in \Bbb{N}:\;A^m=I_n$, then $A$ is invertible.

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What is the index of field extension $\mathbb{C}/\mathbb{R}$?

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