Title | **Applying Gröbner basis techniques to group theory** |

Author(s) | Landon Rabern |

Type | Article in Journal |

Abstract | We apply the machinery of Gröbner bases to finitely presented groups. This allows for computational methods to be developed which prove that a given finitely presented group is not n -linear over a field k assuming some mild conditions. We also present an algorithm which determines whether or not a finitely presented group G is trivial given that an oracle has told us that G is n -linear over an algebraically closed field k . |

ISSN | 0022-4049 |

URL |
http://www.sciencedirect.com/science/article/pii/S0022404906001861 |

Language | English |

Journal | Journal of Pure and Applied Algebra |

Volume | 210 |

Number | 1 |

Pages | 137 - 140 |

Year | 2007 |

Edition | 0 |

Translation |
No |

Refereed |
No |