# Degree bounds for modular covariants

Article

Elmer, J. and Sezer, M. 2020. Degree bounds for modular covariants.

*Forum Mathematicum.*32 (4), pp. 905-910. https://doi.org/10.1515/forum-2019-0196

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

Title | Degree bounds for modular covariants |

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

Abstract | Let V,W be representations of a cyclic group G of prime order p over a field k of characteristic p. The module of covariants k[V,W]^G is the set of G-equivariant polynomial maps from V to W, and is a module over the algebra of invariants k[V]^G. We give a formula for the Noether bound of k[V,W]^G over k[V]^G, i.e. the minimal degree d such that k[V,W]^G is generated over k[V]^G by elements of degree at most d. |

Keywords | Invariant theory; modular representation; cyclic group; module of covariants; Noether bound |

Language | English |

Publisher | De Gruyter |

Journal | Forum Mathematicum |

ISSN | 0933-7741 |

Electronic | 1435-5337 |

Publication dates | |

Online | 20 Mar 2020 |

Print | 01 Jul 2020 |

Publication process dates | |

Deposited | 24 Feb 2020 |

Accepted | 09 Feb 2020 |

Submitted | 25 Jul 2019 |

Output status | Published |

Publisher's version | |

Copyright Statement | © 2020 Walter de Gruyter GmbH, Berlin/Boston. |

Digital Object Identifier (DOI) | https://doi.org/10.1515/forum-2019-0196 |

Web of Science identifier | WOS:000544194200003 |

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