FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 5, PAGES 103-123

**Homotopy types of group lattices**

I. P. Kramarev

L. V. Lokutsievskiy

Abstract

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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
$PSL(2,7)$,
find a connection between different group
lattices, and obtain some estimates for the Betty numbers of these
lattices using the spectral sequence method.

Location: http://mech.math.msu.su/~fpm/eng/k08/k085/k08507h.htm

Last modified: May 7, 2009