Equivalences of Classifying Spaces Completed at the Prime Two is popular PDF and ePub book, written by Robert Oliver in 2006, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Equivalences of Classifying Spaces Completed at the Prime Two can be Read Online from any device for your convenience.
Equivalences of Classifying Spaces Completed at the Prime Two Book PDF Summary
We prove here the Martino-Priddy conjecture at the prime $2$: the $2$-completions of the classifying spaces of two finite groups $G$ and $G'$ are homotopy equivalent if and only if there is an isomorphism between their Sylow $2$-subgroups which preserves fusion. This is a consequence of a technical algebraic result, which says that for a finite group $G$, the second higher derived functor of the inverse limit vanishes for a certain functor $\mathcal{Z}_G$ on the $2$-subgroup orbit category of $G$. The proof of this result uses the classification theorem for finite simple groups.
Detail Book of Equivalences of Classifying Spaces Completed at the Prime Two PDF
- Author : Robert Oliver
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821838280
- Genre : Mathematics
- Total Page : 116 pages
- Language : English
- PDF File Size : 11,7 Mb
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