Let $G$ be a group and collect all the non-normal subgroups of $G$. Then what will the intersection of all those be? Normal?

The examples that I took, like $S_3, S_4, D_4$, every time the trivial subgroup is coming and that is normal.

But is there any theorem to support this?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.