Representing lattices by homotopy groups of graphs
Commentationes Mathematicae Universitatis Carolinae (1999)
- Volume: 40, Issue: 2, page 215-221
- ISSN: 0010-2628
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topTůma, Jiří. "Representing lattices by homotopy groups of graphs." Commentationes Mathematicae Universitatis Carolinae 40.2 (1999): 215-221. <http://eudml.org/doc/248445>.
@article{Tůma1999,
abstract = {In this paper we represent every lattice by subgroups of free groups using the concept of the homotopy group of a graph.},
author = {Tůma, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {subgroup lattice; lattice embedding; free group; homotopy group; subgroup lattice; lattice embedding; free group; homotopy group},
language = {eng},
number = {2},
pages = {215-221},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Representing lattices by homotopy groups of graphs},
url = {http://eudml.org/doc/248445},
volume = {40},
year = {1999},
}
TY - JOUR
AU - Tůma, Jiří
TI - Representing lattices by homotopy groups of graphs
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 2
SP - 215
EP - 221
AB - In this paper we represent every lattice by subgroups of free groups using the concept of the homotopy group of a graph.
LA - eng
KW - subgroup lattice; lattice embedding; free group; homotopy group; subgroup lattice; lattice embedding; free group; homotopy group
UR - http://eudml.org/doc/248445
ER -
References
top- Tůma J., On infinite partition representations and their finite quotients, Czech. Math. J. 45 (1995), 21-38. (1995) MR1314529
- Tůma J., A new proof of Whitman's embedding theorem, J. Algebra 173 (1995), 459-462. (1995) Zbl0828.06004MR1325785
- Whitman P., Lattices, equivalence relations, and subgroups, Bull. Amer. Math. Soc. 52 (1946), 507-522. (1946) Zbl0060.06505MR0016750
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