Answer Happy

Posted: **Mon Jul 11, 2022 12:06 pm**

: 11 Q I Z Where Z Is The Real Fourth Root Of 2 A Find All Subfields Of Q I Z B Determine Aut Q I Z C Find 1 (38.48 KiB) Viewed 16 times

11. Q[i, z] (where z is the real fourth root of 2) a. Find all subfields of Q[i, z]. b. Determine Aut(Q[i, z]). c. Find all subgroups of Aut(Q[i, z]). d. For each subgroup H of Aut(Q[i, z]), determine FixQ[i,z] (H). e. For each subfield S of Q[i, z], determine Auts(Q[i, z]).