### Abstract

We show that for any block algebra B of a finite group over an algebraically closed field of prime characteristic p the dimension of HHn(B) is bounded by a function depending only on the nonnegative integer n and the defect of B. The proof uses in particular a theorem of Brauer and Feit which implies the result for n=0.

Original language | English |
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Pages (from-to) | 318-322 |

Number of pages | 5 |

Journal | Journal of Algebra |

Volume | 337 |

Issue number | 1 |

Early online date | 30 Mar 2011 |

DOIs | |

Publication status | Published - Jul 2011 |

### Keywords

- block
- Hochschild cohomology

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## Cite this

Kessar, R., & Linckelmann, M. (2011). Bounds for Hochschild cohomology of block algebras.

*Journal of Algebra*,*337*(1), 318-322. https://doi.org/10.1016/j.jalgebra.2011.03.009