Fixed points of p-toral groups acting on partition complexes

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

Research output: Chapter in Book/Report/Conference proceedingChapter

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)/S1is an elementary abelian p-group.

Original languageEnglish (US)
Title of host publicationWomen in topology: collaborations in homotopy theory
EditorsMaria Basterra, Kristine Bauer, Kathryn Hess, Brenda Johnson
PublisherAmerican Mathematical Society
Pages83-96
Number of pages14
ISBN (Electronic)9781470424954
ISBN (Print)9781470410131
DOIs
StatePublished - 2015
Externally publishedYes

Publication series

NameContemporary Mathematics
Volume641
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Fixed points of p-toral groups acting on partition complexes'. Together they form a unique fingerprint.

Cite this