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Group Actions and a Conjecture of Quillen

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2032)

Abstract

In his seminal article [70], Daniel Quillen studied algebraic properties of a finite group by means of homotopy properties of a certain compled K(S p (G)) associated to the group. Given a finite group G and a prime integer p dividing the order of G, let S p (G) denote the poset of nontrivial p-subgroups of G ordered by inclusion.

Keywords

  • Simplicial Complex
  • Equivariant Homotopy
  • Prime Integer
  • Free Face
  • Weak Homotopy

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2011 Springer-Verlag Berlin Heidelberg

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Barmak, J.A. (2011). Group Actions and a Conjecture of Quillen. In: Algebraic Topology of Finite Topological Spaces and Applications. Lecture Notes in Mathematics(), vol 2032. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22003-6_8

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