Normal subsystems of fusion systems and partial normal subgroups of localities

Andrew Chermak, Ellen Henke

Research output: Working paper

Abstract

Linking systems were introduced to study classifying spaces of fusion systems. Every linking system over a saturated fusion system F corresponds to a group-like structure called a locality. Given such a locality L, we prove that there is a one-to-one correspondence between the partial normal subgroups of L and the normal subsystems of the fusion system F. As a corollary we obtain that, for any two normal subsystems of a saturated fusion system, there exists a normal subsystem which plays the role of a "product".
Original languageEnglish
PublisherArXiv
Publication statusSubmitted - 16 Jun 2017

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Normal subgroup
Locality
Fusion
Subsystem
Partial
Linking
Classifying Space
One to one correspondence
Corollary

Keywords

  • math.GR

Cite this

Normal subsystems of fusion systems and partial normal subgroups of localities. / Chermak, Andrew; Henke, Ellen.

ArXiv, 2017.

Research output: Working paper

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