Title | **Computing generators of the tame kernel of a global function field** |

Author(s) | Annegret Weng |

Type | Article in Journal |

Abstract | The group K 2 of a curve C over a finite field is equal to the tame kernel of the corresponding function field. We describe two algorithms for computing generators of the tame kernel of a global function field. The first algorithm uses the transfer map and the fact that the ℓ -torsion can easily be described if the ground field contains the ℓ th roots of unity. The second method is inspired by an algorithm of Belabas and Gangl for computing generators of K 2 of the ring of integers in a number field. We finally give the generators of the tame kernel for some elliptic function fields. |

Keywords | Algorithmic number theory, K-theory, Global function fields |

ISSN | 0747-7171 |

URL |
http://www.sciencedirect.com/science/article/pii/S0747717106000332 |

Language | English |

Journal | Journal of Symbolic Computation |

Volume | 41 |

Number | 9 |

Pages | 964 - 979 |

Year | 2006 |

Edition | 0 |

Translation |
No |

Refereed |
No |