"Let H and K be subgroups of a group G. Prove that the intersection [tex]xH\cap yK[/tex] of two cosets of H and K is either empty or is a coset of the subgroup [tex]H\cap K[/tex]."(adsbygoogle = window.adsbygoogle || []).push({});

I'm stuck here.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Intersection of cosets is empty or a coset

**Physics Forums | Science Articles, Homework Help, Discussion**