Homology, Homotopy and Applications

Homology decompositions and groups inducing fusion systems

Assaf Libman and Nora Seeliger

Full-text: Open access

Abstract

We relate the construction of groups which realize saturated fusion systems and signaliser functors with homology decompositions of $p$-local finite groups. We prove that the cohomology ring of Robinson’s construction is in some precise sense very close to the cohomology ring of the fusion system it realizes.

Article information

Source
Homology Homotopy Appl., Volume 14, Number 2 (2012), 167-187.

Dates
First available in Project Euclid: 12 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.hha/1355321486

Mathematical Reviews number (MathSciNet)
MR3007091

Zentralblatt MATH identifier
1267.55006

Subjects
Primary: 55R35: Classifying spaces of groups and $H$-spaces 20J99

Keywords
Fusion system signalizer functor homology decomposition

Citation

Libman, Assaf; Seeliger, Nora. Homology decompositions and groups inducing fusion systems. Homology Homotopy Appl. 14 (2012), no. 2, 167--187. https://projecteuclid.org/euclid.hha/1355321486


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