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# Equivalences of classifying spaces completed at the prime two

Author: Robert Oliver Providence, R.I. : American Mathematical Society, ©2006. Memoirs of the American Mathematical Society, no. 848. eBook : Document : EnglishView all editions and formats Introduction Higher limits over orbit categories Reduction to simple groups A relative version of $\Lambda$-functors Subgroups which contribute to higher limits Alternating groups Groups of Lie type in characteristic two Classical groups of Lie type in odd characteristic Exceptional groups of Lie type in odd characteristic Sproadic groups Computations of $\textrm{lim}^1(\mathcal{Z}_G)$ Bibliography. (not yet rated) 0 with reviews - Be the first.

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Genre/Form: Electronic books Print version:Oliver, Robert, 1949-Equivalences of classifying spaces completed at the prime two / Document, Internet resource Internet Resource, Computer File Robert Oliver Find more information about: Robert Oliver 9781470404529 1470404524 851086285 "Volume 180, number 848 (second of 5 numbers)." 1 online resource (vi, 102 pages). Introduction 1. Higher limits over orbit categories 2. Reduction to simple groups 3. A relative version of $\Lambda$-functors 4. Subgroups which contribute to higher limits 5. Alternating groups 6. Groups of Lie type in characteristic two 7. Classical groups of Lie type in odd characteristic 8. Exceptional groups of Lie type in odd characteristic 9. Sporadic groups 10. Computations of $\lim ^1(\mathcal {Z}_G)$ Memoirs of the American Mathematical Society, no. 848. Bob Oliver.

### Abstract:

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  Read more...

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