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arXiv · 0911.4136

Homotopy types of group lattices

I. P. Kramarev·L. V. Lokutsievskiy
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Abstract

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 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. 2009-11-20. Homotopy types of group lattices. https://arxiv.org/abs/0911.4136

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