Read Equivalences of Classifying Spaces Completed at the Prime Two (Memoirs of the American Mathematical Society)

Equivalences of Classifying Spaces Completed at the Prime Two (Memoirs of the American Mathematical Society)

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Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Equivalences of Classifying Spaces Completed at the Prime Two (Memoirs of the American Mathematical Society). To get started finding Equivalences of Classifying Spaces Completed at the Prime Two (Memoirs of the American Mathematical Society), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0821838288

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Equivalences of Classifying Spaces Completed at the Prime Two (Memoirs of the American Mathematical Society). To get started finding Equivalences of Classifying Spaces Completed at the Prime Two (Memoirs of the American Mathematical Society), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Equivalences of Classifying Spaces Completed at the Prime Two (Memoirs of the American Mathematical Society)

Equivalences of Classifying Spaces Completed at the Prime Two (Memoirs of the American Mathematical Society)

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