Representing lattices by homotopy groups of graphs
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 215-221
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In this paper we represent every lattice by subgroups of free groups using the concept of the homotopy group of a graph.
In this paper we represent every lattice by subgroups of free groups using the concept of the homotopy group of a graph.
Classification :
06B15, 20E05, 20E15
Keywords: subgroup lattice; lattice embedding; free group; homotopy group
Keywords: subgroup lattice; lattice embedding; free group; homotopy group
Tůma, Jiří. Representing lattices by homotopy groups of graphs. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) no. 2, pp. 215-221. http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a2/
@article{CMUC_1999_40_2_a2,
author = {T\r{u}ma, Ji\v{r}{\'\i}},
title = {Representing lattices by homotopy groups of graphs},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {215--221},
year = {1999},
volume = {40},
number = {2},
mrnumber = {1732642},
zbl = {0977.06003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1999_40_2_a2/}
}