Tate's and Yoshida's theorem on control of transfer for fusion systems

We prove analogues of results of Tate and Yoshida on control of transfer for fusion systems. This requires the notions of \(p\)-group residuals and transfer maps in cohomology for fusion systems. As a corollary we obtain a \(p\)-nilpotency criterion due to Tate.

Saved in:
Bibliographic Details
Published in:arXiv.org 2010-02
Main Authors: Diaz, Antonio, Glesser, Adam, Park, Sejong, Stancu, Radu
Format: Article
Language:English
Subjects:
Control systems
Homology
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We prove analogues of results of Tate and Yoshida on control of transfer for fusion systems. This requires the notions of \(p\)-group residuals and transfer maps in cohomology for fusion systems. As a corollary we obtain a \(p\)-nilpotency criterion due to Tate.
ISSN:2331-8422
DOI:10.48550/arxiv.1002.4343