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ming tsai
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Finitely generated and finitely presented [closed]
Jun 8, 2024

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12
Is $\ \{ \sin(p):\ p\ $ is prime $ \}\ $ a dense subset of $\ [-1,1]\ ?$
8
Is there a perfect group in which not every element is a commutator?
8
Find an average number by using group action
6
Let $G$ be a group, $|G|=n$. Suppose $\forall d\in \mathbb{N}$ such that $d\mid n$, there are at most $d$ elements s.t. $x^d=1$. Prove $G$ is cyclic.
5
Let $G$ be a finite group, $H$ be a subgroup of $G$ with $[G:H]=2$ and for all $h \in H-{1}$, $C_G(h) \leq H$. Prove $G-H$ forms a conjugacy class.