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Let G be a finite group and K be a field of characteristic zero. Our purposeis to investigate the ideals of the slice Burnside functor K{\Xi}. It turns outthat they are the subfunctors F of K{\Xi} such that for any finite group G, theevaluation F(G) is an ideal of the algebra K{\Xi}(G). This allows for adetermination of the full lattice of ideals of the slice Burnside p-bisetfunctor K{\Xi}p.

The ideals of the slice Burnside p-biset functor