π **Theorem 3.7.10 (Kummer Theory)**
Let **F** β **F**β(ΞΆβ) and
let **E** be an extension of
**F**. Then **E** is a
Kummer field if and only if:
**E** is a Galois extension of **F**.
Gal(**E**/**F**) is abelian.
The exponent of Gal(**E**/**F**) divides n.
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Let **F** β **F**β(ΞΆβ) and
let **E** be an extension of
**F**. Then **E** is a
Kummer field if and only if:
**E** is a Galois extension of **F**.
Gal(**E**/**F**) is abelian.
The exponent of Gal(**E**/**F**) divides n.
π magicinternetmath.com
π΄ββ οΈ Subscribe to the Pioneers Club
β‘ [email protected]
#math #bitcoin #education