Fixed points of p-toral groups acting on partition complexes

الأصل · EN

We consider the action of p-toral subgroups of U(n) on the unitary partition complex Lₙ. We show that if H U(n) is p-toral and has noncontractible fixed points on Lₙ, then the image of H in the projective unitary group U(n)/S¹ is an elementary abelian p-group.