Syzygies of the transfer ideal of the symmetric group

Harm Derksen, Alexandra Pevzner

We consider the modular action of the symmetric group $S_n$ on $R=k[x_1,\dots ,x_n]$ when $\mathrm{char}(k)=p\le n$. We show that the image of the transfer map $R\to R^{S_n}$…