## Abstract

Mislin and Talelli showed that a torsion-free group in $\mathbf{H}\mathfak{F}$

with periodic cohomology after some steps has finite cohomological

dimension. In this note we look at similar questions for groups with

torsion by considering Bredon cohomology. In particular we show that

every elementary amenable group acting freely and properly on some

$\mathbb{R}^n\times S^m$ admits a finite dimensional model for $\underline{E}G$

with periodic cohomology after some steps has finite cohomological

dimension. In this note we look at similar questions for groups with

torsion by considering Bredon cohomology. In particular we show that

every elementary amenable group acting freely and properly on some

$\mathbb{R}^n\times S^m$ admits a finite dimensional model for $\underline{E}G$

Original language | English |
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Pages (from-to) | 329-336 |

Number of pages | 8 |

Journal | Mathematical Proceedings of the Cambridge Philosophical Society |

Volume | 144 |

Issue number | 2 |

Early online date | 11 Feb 2008 |

DOIs | |

Publication status | Published - 2008 |