# On separating a fixed point from zero by invariants

Article

Elmer, J. and Kohls, M. 2017. On separating a fixed point from zero by invariants.

*Communications in Algebra.*45 (1), pp. 371-375. https://doi.org/10.1080/00927872.2016.1175465

Type | Article |
---|---|

Title | On separating a fixed point from zero by invariants |

Authors | Elmer, J. and Kohls, M. |

Abstract | Assume a fixed point v in V^G can be separated from zero by a homogeneous invariant f ∈ k[V]^G of degree p^r d where p > 0 is the characteristic of the ground field k and p, d are coprime. We show that then v can also be separated from zero by an invariant of degree p^r , which we obtain explicitly from f . It follows that the minimal degree of a homogeneous invariant separating v from zero is a p-power. |

Publisher | Taylor and Francis |

Journal | Communications in Algebra |

ISSN | 0092-7872 |

Electronic | 1532-4125 |

Publication dates | |

Online | 11 Oct 2016 |

Print | 02 Jan 2017 |

Publication process dates | |

Deposited | 04 Nov 2016 |

Submitted | 12 May 2015 |

Accepted | 23 Nov 2015 |

Output status | Published |

Accepted author manuscript | |

Copyright Statement | This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 11/10/2016, available online: http://www.tandfonline.com/10.1080/00927872.2016.1175465 |

Digital Object Identifier (DOI) | https://doi.org/10.1080/00927872.2016.1175465 |

Language | English |

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