### Abstract

We give a cohomological criterion for the existence and uniqueness of solutions of the $2$-cocycle gluing problem in block theory. The existence of a solution for the $2$-cocycle gluing problem is further reduced to a property of fusion systems of certain finite groups associated with the fusion system of a block.

Original language | English |
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Pages (from-to) | 203-218 |

Number of pages | 16 |

Journal | Homology, Homotopy and Applications |

Volume | 11 |

Issue number | 1 |

Publication status | Published - 2009 |

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## Cite this

Linckelmann, M. (2009). On $H*(C; k×)$ for fusion systems.

*Homology, Homotopy and Applications*,*11*(1), 203-218. http://projecteuclid.org/euclid.hha/1251832566