Title | **The invariants of the second symmetric power representation of** |

Author(s) | Ashley Hobson, R. James Shank |

Type | Article in Journal |

Abstract | For a prime p > 2 and q = p n , we compute a finite generating set for the S L 2 ( F q ) -invariants of the second symmetric power representation, showing the invariants are a hypersurface and the field of fractions is a purely transcendental extension of the coefficient field. As an intermediate result, we show the invariants of the Sylow p -subgroups are also hypersurfaces. |

ISSN | 0022-4049 |

URL |
http://www.sciencedirect.com/science/article/pii/S0022404911000259 |

Language | English |

Journal | Journal of Pure and Applied Algebra |

Volume | 215 |

Number | 10 |

Pages | 2481 - 2485 |

Year | 2011 |

Edition | 0 |

Translation |
No |

Refereed |
No |