Homotopy types of group lattices



In this article, we study group lattices using the ideas of K. S. Brown and D. Quillen of associating a certain topological space to a partially ordered set. We determine the exact homotopy type for the subgroup lattice of PSL(2, 7), find a connection between different group lattices, and obtain some estimates for the Betti numbers of these lattices using the spectral sequence method.


Topological Space Conjugacy Class Spectral Sequence Simplicial Complex Maximal Element 
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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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