Homology decompositions and groups inducing fusion systems

Assaf Libman; Nora Inga Hermine Seeliger

doi:10.4310/HHA.2012.v14.n2.a10

Homology decompositions and groups inducing fusion systems

Assaf Libman, Nora Inga Hermine Seeliger

Mathematical Science

Max Planck Institute for Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	167-187
Number of pages	21
Journal	Homology, Homotopy and Applications
Volume	14
Issue number	2
Early online date	30 Mar 2011
DOIs	https://doi.org/10.4310/HHA.2012.v14.n2.a10
Publication status	Published - 26 Nov 2012

Keywords

topology
algebra

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10.4310/HHA.2012.v14.n2.a10

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title = "Homology decompositions and groups inducing fusion systems",

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. ",

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author = "Assaf Libman and Seeliger, {Nora Inga Hermine}",

year = "2012",

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AB - 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.

KW - topology

KW - algebra

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DO - 10.4310/HHA.2012.v14.n2.a10

M3 - Article

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JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

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Homology decompositions and groups inducing fusion systems

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