Modular invariant theory;
cohomology;
relative transfer ideals;
13A50;
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摘要:
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.
机构:Shahid Bahonar Univ Kerman, Fac Math & Comp, Kerman, Iran
Pakyari, Neda
Nekooei, Reza
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机构:
Shahid Bahonar Univ Kerman, Fac Math & Comp, Kerman, Iran
Shahid Bahonar Univ Kerman, Mahani Math Res Ctr, Kerman, IranShahid Bahonar Univ Kerman, Fac Math & Comp, Kerman, Iran
Nekooei, Reza
Rostami, Esmaeil
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机构:Shahid Bahonar Univ Kerman, Fac Math & Comp, Kerman, Iran
机构:
FPT Univ Ha Noi, Dept Math, Hanoi, Vietnam
Thang Long Univ Ha Noi, Thang Long Inst Math & Appl Sci, Hanoi, VietnamUniv Kansas, Dept Math, Lawrence, KS 66045 USA