Geodesic
Homotopy types of group lattices
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 103-123.

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In this article, we study group lattices using the ideas by 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 $\operatorname{PSL}(2,7)$, find a connection between different group lattices, and obtain some estimates for the Betty numbers of these lattices using the spectral sequence method. 
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I. P. Kramarev; L. V. Lokutsievskiy. Homotopy types of group lattices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 103-123. http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a6/

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