Prove that ({e,(123),(321)}) is an invariant subgroup of (mathrm{S}_{3}) but ({e,(12)}) is not.

Question:

Prove that \(\{e,(123),(321)\}\) is an invariant subgroup of \(\mathrm{S}_{3}\) but \(\{e,(12)\}\) is not.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: