### 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 language | English |
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Publisher | ArXiv |

Publication status | Submitted - 16 Jun 2017 |

### Keywords

- math.GR

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## Profiles

### Ellen Henke

- School of Natural & Computing Sciences, Mathematical Science - Senior Lecturer
- Mathematical Sciences (Research Theme)

Person: Academic