### Abstract

A saturated fusion system consists of a finite p-group S, together with a category which encodes "conjugacy" relations among subgroups of S, and which satisfies certain axioms which are motivated by properties of the fusion in a Sylow p-subgroup of a finite group. We describe here new ways of constructing abstract saturated fusion systems, first as fusion systems of spaces with certain properties, and then via certain graphs.

Original language | English |
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Pages (from-to) | 11-40 |

Number of pages | 29 |

Journal | Contemporary Mathematics |

Volume | 399 |

Publication status | Published - 2006 |

### Keywords

- classifying space
- p-completion
- finite groups
- fusion
- FINITE-GROUPS
- CLASSIFYING-SPACES
- SUBGROUPS

## Cite this

Levi, R., Broto, C., & Oliver, B. (2006). A geometric construction of saturated fusion systems.

*Contemporary Mathematics*,*399*, 11-40.