### 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 |
---|---|

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

*Contemporary Mathematics*,

*399*, 11-40.

**A geometric construction of saturated fusion systems.** / Levi, Ran; Broto, C.; Oliver, B.

Research output: Contribution to journal › Article

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

}

TY - JOUR

T1 - A geometric construction of saturated fusion systems

AU - Levi, Ran

AU - Broto, C.

AU - Oliver, B.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - classifying space

KW - p-completion

KW - finite groups

KW - fusion

KW - FINITE-GROUPS

KW - CLASSIFYING-SPACES

KW - SUBGROUPS

M3 - Article

VL - 399

SP - 11

EP - 40

JO - Contemporary Mathematics

JF - Contemporary Mathematics

SN - 0271-4132

ER -