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 Dec 5 awarded Popular Question May 29 awarded Good Question Nov 4 comment Attitude towards exercises in mathematics Thanks for all the helpful responses guys! Nov 4 awarded Nice Question Nov 3 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. Nov 3 comment Attitude towards exercises in mathematics I'm working on Herstein's Topics in Algebra Nov 3 awarded Student Nov 3 asked Attitude towards exercises in mathematics