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On the homotopy type of the non-completed classifying space of a p-local finite group
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Assaf Libman
Veröffentlicht/Copyright:
15. Juni 2009
Abstract
We establish sufficient conditions for the nerve of the centric linking system of a p-local finite group (S, ℱ, ℒ) to have the homotopy type of an Eilenberg-MacLane space K(Γ, 1) for a group Γ which contains S. We prove that in this situation the entire p-local finite group can be reconstructed from Γ. Our theorem applies to many of the known examples of exotic p-local finite groups.
Received: 2006-12-19
Revised: 2008-01-08
Published Online: 2009-06-15
Published in Print: 2009-July
© de Gruyter 2009
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Artikel in diesem Heft
- The Noether Map I
- A general notion of algebraic entropy and the rank-entropy
- Computing the maximal algebra of quotients of a Lie algebra
- Mahler measure under variations of the base group
- Extremal α-pseudocompact abelian groups
- Group algebras whose symmetric and skew elements are Lie solvable
- Walks on graphs and lattices – effective bounds and applications
- Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions
- On the homotopy type of the non-completed classifying space of a p-local finite group
Artikel in diesem Heft
- The Noether Map I
- A general notion of algebraic entropy and the rank-entropy
- Computing the maximal algebra of quotients of a Lie algebra
- Mahler measure under variations of the base group
- Extremal α-pseudocompact abelian groups
- Group algebras whose symmetric and skew elements are Lie solvable
- Walks on graphs and lattices – effective bounds and applications
- Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions
- On the homotopy type of the non-completed classifying space of a p-local finite group
