# Some properties of Lubin-Tate cohomology for classifying spaces of finite groups

@article{Baker2010SomePO, title={Some properties of Lubin-Tate cohomology for classifying spaces of finite groups}, author={Andrew H. Baker and Birgit Richter}, journal={arXiv: Algebraic Topology}, year={2010} }

We consider brave new cochain extensions $F(BG_+,R)\to F(EG_+,R)$, where $R$ is either a Lubin-Tate spectrum $E_n$ or the related 2-periodic Morava K-theory $K_n$, and $G$ is a finite group. When $R$ is an Eilenberg-Mac Lane spectrum, in some good cases such an extension is a $G$-Galois extension in the sense of John Rognes, but not always faithful. We prove that for $E_n$ and $K_n$ these extensions are always faithful in the $K_n$ local category. However, for a cyclic $p$-group $C_{p^r}$, the…

## One Citation

GALOIS NOTES

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This is a collection of notes from our reading project on Galois theory for rings and ring spectra. An attempt is made to outline main ideas and give references, but only a minimal effort has been…

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