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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 5, Pages 103–123 (Mi fpm1144)  
Homotopy types of group lattices

I. P. Kramarev, L. V. Lokutsievskiy

M. V. Lomonosov Moscow State University
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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 $\operatorname{PSL}(2,7)$, find a connection between different group lattices, and obtain some estimates for the Betty numbers of these lattices using the spectral sequence method.
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 163, Issue 6, Pages 694–708
DOI: https://doi.org/10.1007/s10958-009-9706-6
Bibliographic databases:
UDC: 512.542+512.662.8
Language: Russian
Citation: I. P. Kramarev, L. V. Lokutsievskiy, “Homotopy types of group lattices”, Fundam. Prikl. Mat., 14:5 (2008), 103–123; J. Math. Sci., 163:6 (2009), 694–708
Citation in format AMSBIB
\Bibitem{KraLok08}
\by I.~P.~Kramarev, L.~V.~Lokutsievskiy
\paper Homotopy types of group lattices
\jour Fundam. Prikl. Mat.
\yr 2008
\vol 14
\issue 5
\pages 103--123
\mathnet{http://mi.mathnet.ru/fpm1144}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2533581}
\transl
\jour J. Math. Sci.
\yr 2009
\vol 163
\issue 6
\pages 694--708
\crossref{https://doi.org/10.1007/s10958-009-9706-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-73249127723}
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    		Фундаментальная и прикладная математика
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