### Abstract

Original language | English |
---|---|

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 |

### Fingerprint

### Keywords

- block
- Hochschild cohomology

### Cite this

*Journal of Algebra*,

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

**Bounds for Hochschild cohomology of block algebras.** / Kessar, Radha; Linckelmann, Markus.

Research output: Contribution to journal › Article

*Journal of Algebra*, vol. 337, no. 1, pp. 318-322. https://doi.org/10.1016/j.jalgebra.2011.03.009

}

TY - JOUR

T1 - Bounds for Hochschild cohomology of block algebras

AU - Kessar, Radha

AU - Linckelmann, Markus

PY - 2011/7

Y1 - 2011/7

N2 - 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.

AB - 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.

KW - block

KW - Hochschild cohomology

U2 - 10.1016/j.jalgebra.2011.03.009

DO - 10.1016/j.jalgebra.2011.03.009

M3 - Article

VL - 337

SP - 318

EP - 322

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -