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 Dec5 awarded Popular Question May29 awarded Good Question Nov4 comment Attitude towards exercises in mathematics Thanks for all the helpful responses guys! Nov4 awarded Nice Question Nov3 comment Attitude towards exercises in mathematics Here are some of them: -If $G$ is a group and $H,K$ are two subgroups of finite index in $G$, prove that $H\cap K$ is of finite index in $G$. -If an abelian group has subgroups of orders $m$ and $n$, respectively, then show it has a subgroup whose order is the least common multiple of $m$ and $n$. -If $N$ is a normal subgroup in the finite group such that $i_G(N)$ and $o(N)$ are relatively prime, show that any element of $x\in G$ satisfying $x^{o(N)}=e$ must be in $N$. I've found the solutions now, though, except for the second one which seems to require something beyond what I've learned. Nov3 comment Attitude towards exercises in mathematics I'm working on Herstein's Topics in Algebra Nov3 awarded Student Nov3 asked Attitude towards exercises in mathematics