The set H = {(1), (12)(34), (13)(24), (14)(23)} is a subgroup in S4. (You don't need...

Transcribed Image Text:

The set H = {(1), (12)(34), (13)(24), (14)(23)} is a subgroup in S4. (You don't need to show this). Using the proof Cayley's theorem construct an explicit isomorphism between Z/2Zx Z/2Z and H. The set H = {(1), (12)(34), (13)(24), (14)(23)} is a subgroup in S4. (You don't need to show this). Using the proof Cayley's theorem construct an explicit isomorphism between Z/2Zx Z/2Z and H.