Fixed Points of p-Toral Groups Acting on Partition Complexes

被引：3

作者：

Bergner, Julia E. ^{[1
]}

Joachimi, Ruth ^{[2
]}

Lesh, Kathryn ^{[3
]}

Stojanoska, Vesna ^{[4
]}

Wickelgren, Kirsten ^{[5
]}

机构：

[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

[2] Univ Wuppertal, Dept Math & Informat, Wuppertal, Germany

[3] Union Coll, Dept Math, Schenectady, NY 12309 USA

[4] MIT, Dept Math, Cambridge, MA 02143 USA

[5] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

WOMEN IN TOPOLOGY: COLLABORATIONS IN HOMOTOPY THEORY | 2015年 / 641卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1090/conm/641/12860

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the action of p-toral subgroups of U(n) on the unitary partition complex L-n. We show that if H subset of U(n) is p-toral and has noncontractible fixed points on L-n, then the image of H in the projective unitary group U(n)/S-1 is an elementary abelian p-group.

引用

页码：83 / 96

页数：14

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