Proceedings of the American Mathematical Society, 1969
In this note we study some cases in which the structure of the Galois group of an extension of nu... more In this note we study some cases in which the structure of the Galois group of an extension of number fields gives information about the relation between the ideal class groups of these fields. The letters K, L, etc. will denote finite extension fields of the rationals and the letter p will denote a rational prime. If A is an abelian group we let its order be denoted by |^4| and its p-sylow subgroup by Ap. The class group of L will be written Cl¿.
Proceedings of the American Mathematical Society, 1969
In this note we study some cases in which the structure of the Galois group of an extension of nu... more In this note we study some cases in which the structure of the Galois group of an extension of number fields gives information about the relation between the ideal class groups of these fields. The letters K, L, etc. will denote finite extension fields of the rationals and the letter p will denote a rational prime. If A is an abelian group we let its order be denoted by |^4| and its p-sylow subgroup by Ap. The class group of L will be written Cl¿.
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