Galois group of Kummer extension generated by roots of prime numbers. (English) Zbl 1524.13036
Summary: We find Galois group of Kummer extension generated by roots of
prime numbers and decompose this group into direct sum of cyclic groups. We reduce all technical and arithmetical difficulties to the description of quadratic subfields of cyclotomic extension.
MSC:
13B05 | Galois theory and commutative ring extensions |