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.
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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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DOI: https://doi.org/10.1007/978-3-642-22003-6_8
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-642-22003-6
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