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Item Details
Title:
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EQUIVALENCES OF CLASSIFYING SPACES COMPLETED AT THE PRIME TWO
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By: |
Bob Oliver (Editor) |
Format: |
Paperback |
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List price:
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£61.00 |
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further information.
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ISBN 10: |
0821838288 |
ISBN 13: |
9780821838280 |
Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
Pub. date: |
15 January, 2006 |
Series: |
Memoirs of the American Mathematical Society No. 180 |
Pages: |
102 |
Description: |
Proves that 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. |
Synopsis: |
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. |
Publication: |
US |
Imprint: |
American Mathematical Society |
Returns: |
Returnable |
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