Fixed points of p-toral groups acting on partition complexes

  • Julia E. Bergner, Ruth Joachimi, Kathryn Lesh, Vesna Stojanoska, Kirsten Wickelgren
  • Published 2014

Abstract

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. 

Cite this paper

@inproceedings{Bergner2014FixedPO, title={Fixed points of p-toral groups acting on partition complexes}, author={Julia E. Bergner and Ruth Joachimi and Kathryn Lesh and Vesna Stojanoska and Kirsten Wickelgren}, year={2014} }