Groups

[Guest]

How can i prove that H[tex]\cap[/tex]K is not a normal subgroup of K, if H\leG and K is normal subgroup of G. Where G=K=S3 and H is generated with permutation (12)(3). I guess it has to do something with orders of this groups.

[Guest]

I am puzzled that you say that "K is a normal subgroup of G" and that G and K are both equal to S3!