The transfer ideal of S_n in char p is an elimination ideal J ∩ R^{S_n} whose structure depends only on n = qp + r, with a determinantal presentation conjectured and proven for q=2, plus graded Betti numbers from a GL-equivariant linear resolution.
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Syzygies of the transfer ideal of the symmetric group
The transfer ideal of S_n in char p is an elimination ideal J ∩ R^{S_n} whose structure depends only on n = qp + r, with a determinantal presentation conjectured and proven for q=2, plus graded Betti numbers from a GL-equivariant linear resolution.