Lemma 36 Let F CK be an algebraic extension. Let L be an algebraic closure of F containing K. Let e: K → L be the inclu- sion. Let 0: Autp(K) Endf(K, L) be given by 0(0) = e00 for all o E Autp(K)....

Lemma 36<br>Let F CK be an algebraic extension.<br>Let L be an<br>algebraic closure of F containing K. Let e: K<br>→ L be the inclu-<br>sion. Let 0: Autp(K)<br>Endf(K, L) be given by 0(0) = e00 for all<br>o E Autp(K). Then<br>(1) 0 is one-one.<br>(2) if K is normal over F then 0 is a bijection.<br>

Extracted text: Lemma 36 Let F CK be an algebraic extension. Let L be an algebraic closure of F containing K. Let e: K → L be the inclu- sion. Let 0: Autp(K) Endf(K, L) be given by 0(0) = e00 for all o E Autp(K). Then (1) 0 is one-one. (2) if K is normal over F then 0 is a bijection.

Jun 04, 2022

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Lemma 36 Let F CK be an algebraic extension. Let L be an algebraic closure of F containing K. Let e: K → L be the inclu- sion. Let 0: Autp(K) Endf(K, L) be given by 0(0) = e00 for all o E Autp(K)....

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