## Abstract

Let G be a finite group acting linearly on a finite dimensional vector space V defined over a field k of characteristic p, where p is assumed to divide the group order. Let R := S(V *) be the symmetric algebra of the dual on which G acts naturally by algebra automorphisms. We study the RG-modules Hi(G, R) for i > 0. In particular we give a formula which describes the annihilator of a general element of Hi(G, R) in terms of the relative transfer ideals of RG, and consequently prove that the associated primes of these cohomology modules are equal to the radicals of certain relative transfer ideals.

Translated title of the contribution | Associated primes for cohomology modules |
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Original language | English |

Pages (from-to) | 481 - 485 |

Number of pages | 5 |

Journal | Archiv der Mathematik |

Volume | 91, issue 6 |

DOIs | |

Publication status | Published - Dec 2008 |