Finite Groups and Finite Spaces
نویسنده
چکیده
We shall explain some of the results and questions in a beautiful 1978 paper [3] by Daniel Quillen. He relates properties of groups to homotopy properties of the simplicial complexes of certain posets constructed from the group. He does not explicitly think of these posets as finite topological spaces. He seems to have been unaware of the earlier papers of McCord [2] and Stong [4] that we have studied, and it is interesting to look at his work from their perspective. Stong himself first looked at Quillen’s work this way [5], and we will include his results on the topic. We usually work with a finite group G, but the basic definitions apply more generally.
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