Mathematics – Group Theory
Scientific paper
2009-11-20
I. P. Kramarev, L. V. Lokutsievskiy, "Homotopy types of group lattices" Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No.
Mathematics
Group Theory
16 pages, 5 figures
Scientific paper
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.
Kramarev I. P.
Lokutsievskiy L. V.
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