A completion theorem for fusion systems

被引：3

作者：

Barcenas, Noe ^{[1
]}

Cantarero, Jose ^{[2
]}

机构：

[1] UNAM, Ctr Ciencias Matemat, Ap Postal 61-3 Xangari, Morelia 58089, Michoacan, Mexico

[2] Consejo Nacl Ciencia & Technol, Ctr Invest Matemat, AC Unidad Merida, Parque Cient & Tecnol Yucatan, Merida 97302, Yuc, Mexico

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2020年 / 236卷 / 02期

关键词：

LOCAL FINITE-GROUPS; ABELIAN SUBGROUP; K-THEORY;

D O I：

10.1007/s11856-020-1981-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the twisted K-theory of the classifying space of a p-local finite group is isomorphic to the completion of the Grothendieck group of twisted representations of the fusion system with respect to the augmentation ideal of the representation ring of the fusion system. We use this result to compute the K-theory of the Ruiz-Viruel exotic 7-local finite groups.

引用

页码：501 / 531

页数：31

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