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• 11 When and how did the term "Nazi" start replacing the term "Germans" in the context of WW2?
• 6 Let $G$ be a polycyclic group and assume that every finite quotient of $G$ is nilpotent. Then $G$ is nilpotent
• 6 Prove or disprove: If $A$ is $n\times n$ and $\exists\;m\in \Bbb{N}:\;A^m=I_n$, then $A$ is invertible.
• 6 What is the index of field extension $\mathbb{C}/\mathbb{R}$?
• 5 Vect$_{\mathbb{R}}$ is equivalent to the category of $T$ algebras for a monad Set $\to$ Set.
• 5 How to use Yoneda's lemma in proving: $F$ fully-faithful iff unit is an isomorphism
• 5 Simple module over $ֿ\mathbb{Z}G$ has a $\mathbb{Z}N$ composition series when $N \triangleleft G$ is nilpotent and of finite-index
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