### Abstract

The Schur multiplier of a fusion system F on a finite p-group P, being defined as the inverse limit of the Schur multipliers of the subgroups of P taken over the category F, has a series of properties analogous to some properties of Schur multipliers of finite groups. This is one of the tools used in [R. Kessar, The Solomon system F-Sol(3) does not occur as fusion system of a 2-block, preprint, 2004] to show that the Solomon fusion system cannot arise as the Brauer category of a p-block of a finite group. (c) 2005 Elsevier Inc. All rights reserved.

Original language | English |
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Pages (from-to) | 402-408 |

Number of pages | 6 |

Journal | Journal of Algebra |

Volume | 296 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2006 |

## Cite this

Linckelmann, M. (2006). A note on the Schur multiplier of a fusion system.

*Journal of Algebra*,*296*(2), 402-408. https://doi.org/10.1016/j.jalgebra.2005.03.039