## Abstract

Let x^{pk}-a be irreducible over Q. The first part of this paper is to explicitly give the decomposition rules for the factorization of p in the ring of integers of Q(a^{1/pk}). As an application of the above we use these results to determine the genus field of Q(a^{1/n}), where x^{n}-a is irreducible over Q and we make no restrictions on a.

Original language | English (US) |
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Pages (from-to) | 1-19 |

Number of pages | 19 |

Journal | Tokyo Journal of Mathematics |

Volume | 11 |

Issue number | 1 |

DOIs | |

State | Published - Jun 1988 |

## ASJC Scopus subject areas

- Mathematics(all)

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