Equivalences of classifying spaces completed at the prime two /
Saved in:
| Author / Creator: | Oliver, Robert, 1949- |
|---|---|
| Imprint: | Providence, R.I. : American Mathematical Society, c2006. |
| Description: | vi, 102 p. ; 26 cm. |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society, 0065-9266 ; no. 848 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6448038 |
| 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. |
|---|---|
| Item Description: | "Volume 180, number 848 (second of 5 numbers)." |
| Physical Description: | vi, 102 p. ; 26 cm. |
| Bibliography: | Includes bibliographical references (p. 100-102). |
| ISBN: | 0821838288 (acid-free paper) 9780821838280 (acid-free paper) |
