We cansider the field E= Q(V2, 3,13). It is shown that [E:Q]-8. we have the following cun jugation IS omar phisms (which are automorphisms of E) %3D er Vazā : (QU5, v5))(5) >(QU5,15)(-13) Vi5-1B:(Q15, 15)(15) → (Q J3,5)(-13) PB-15:(Q(15, 13)(15) > (Q(15,13)(-15) Find the fixed hield of the automorphism or Set cf alt omerphi= of E.
We cansider the field E= Q(V2, 3,13). It is shown that [E:Q]-8. we have the following cun jugation IS omar phisms (which are automorphisms of E) %3D er Vazā : (QU5, v5))(5) >(QU5,15)(-13) Vi5-1B:(Q15, 15)(15) → (Q J3,5)(-13) PB-15:(Q(15, 13)(15) > (Q(15,13)(-15) Find the fixed hield of the automorphism or Set cf alt omerphi= of E.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.2: Integral Domains And Fields
Problem 2E: Consider the set ={[0],[2],[4],[6],[8]}10, with addition and multiplication as defined in 10. a. Is...
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