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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Section 48 number 18
8We cansider the field E= Q(1ã, 3,15). It is shown that
[E:Q]-8. ve have the following cun jugahon Is omar phisms
(which are automorphisms of E)
enter
shi
Pi3-13 : (QU2, V5)(15) > (Q J3,15)(-V3)
V5,-15: (Q15, 13)(15)->((/5,13)(-15)
pac
dow
Find the fixed field of the automorphism or Set cf aut omerphis
of E.
Transcribed Image Text:8We cansider the field E= Q(1ã, 3,15). It is shown that [E:Q]-8. ve have the following cun jugahon Is omar phisms (which are automorphisms of E) enter shi Pi3-13 : (QU2, V5)(15) > (Q J3,15)(-V3) V5,-15: (Q15, 13)(15)->((/5,13)(-15) pac dow Find the fixed field of the automorphism or Set cf aut omerphis of E.
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