Welcome to our community

Be a part of something great, join today!

Problem of the Week #297 - January 5, 2021

  • Thread starter
  • Moderator
  • #1


MHB Global Moderator
Staff member
Jun 20, 2014
Here is this week's POTW:

Let $G$ be a finite group, and let $H$ be a subgroup of $G$ of index $n$. Prove that if the order of $G$ does not divide $n!$, then $H$ contains a normal subgroup of $G$.


Remember to read the POTW submission guidelines to find out how to submit your answers!