# Math Help - computing the trosion group

1. ## computing the trosion group

Hello all mathematicians and all lovers of Math;
I need your help in order to solve this problem related to free resolution and how we compute the torsion group.

For any fi eld $K$ and for the ring $R=K[x,y,z]$ (polynomial ring in three variables), compute the groups $Tor_{R}^{j}(K,K)$ for $j=0,1,2,3$