8
$\begingroup$

I have recently been looking at Hall's marriage theorem. One application of it is that given a finite group $G$ and a subgroup $H\leq G$, there is a left transversal of $H$ that is also a right transversal. I can see the theoretical importance of this, but am struggling to find any situations when one would actually use this. If anybody can enlighten me, that would be greatly appreciated.

  • 0
    Do you mean a left traversal of $H$? http://mathworld.wolfram.com/LeftTransversal.html2012-04-20
  • 0
    @ThomasAndrews Yes, I do mean a left transversal of $H$. Thanks for pointing out the (now corrected) error.2012-04-20

2 Answers 2