Does a finite group on $2^t$ elements (with $t$ a positive integer) necessarily have a subgroup of index two? It seems close to the Sylow Theorems but not quite. Maybe there is a simple counterexample. (Added: Where could one find information on subgroups of groups whose order is a power of tw...

[UNDELETED] [REOPENED] [CLOSED] I would suggest to undelete/reopen Variation on Sylow Theorems, as a courtesy and sign of respect, and then hopefully one of our experts can answer it. I know, I was one of those who cast a vote to delete, when I was still under the impression that this was post...

(Neil Strickland provided a link to early graduate level questions: MO or Math.SE? which more or less answers this, so I have marked it as a duplicate) Every now and then I encounter questions which are like this. It is next to trivial not only for specialists in the corresponding field, but al...

When I first began on this site MathOverflow took questions at all levels. Then Math.SE was created and the level of MO has crept up steadily with Math.SE not necessarily absorbing the remainder questions. In my opinion, there seems to be currently a gap between upper level of questions answered...