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- W2021984564 abstract "Fix a prime p . A mod- p homotopy group extension of a group π by a group G is a fibration with base space Bπ p ∧ and fibre BG p ∧ . In this paper we study homotopy group extensions for finite groups. We observe that there is a strong analogy between homotopy group extensions and ordinary group extensions. The study involves investigating the space of self-homotopy equivalences of a p -completed classifying space. In particular, we show that under the appropriate assumption on G , the identity component of this space is homotopy equivalent to BZ ( G ), the classifying space of the centre of G . We proceed by studying the group of components. We show that this group maps into a group of natural equivalences of a certain functor with kernel and cokernel, which are computable in terms of the first and second derived functors of the inverse limit for a certain diagram of abelian groups." @default.
- W2021984564 created "2016-06-24" @default.
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- W2021984564 date "2002-03-01" @default.
- W2021984564 modified "2023-09-29" @default.
- W2021984564 title "On spaces of self-homotopy equivalences of p-completed classifying spaces of finite groups and homotopy group extensions" @default.
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- W2021984564 doi "https://doi.org/10.1016/s0040-9383(00)00031-8" @default.
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