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Title: Representing lattices by homotopy groups of graphs (English)
Author: Tůma, Jiří
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 40
Issue: 2
Year: 1999
Pages: 215-221
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Category: math
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Summary: In this paper we represent every lattice by subgroups of free groups using the concept of the homotopy group of a graph. (English)
Keyword: subgroup lattice
Keyword: lattice embedding
Keyword: free group
Keyword: homotopy group
MSC: 06B15
MSC: 20E05
MSC: 20E15
idZBL: Zbl 0977.06003
idMR: MR1732642
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Date available: 2009-01-08T18:51:18Z
Last updated: 2012-04-30
Stable URL: http://hdl.handle.net/10338.dmlcz/119077
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Reference: [Tů1] Tůma J.: On infinite partition representations and their finite quotients.Czech. Math. J. 45 (1995), 21-38. MR 1314529
Reference: [Tů2] Tůma J.: A new proof of Whitman's embedding theorem.J. Algebra 173 (1995), 459-462. Zbl 0828.06004, MR 1325785
Reference: [W] Whitman P.: Lattices, equivalence relations, and subgroups.Bull. Amer. Math. Soc. 52 (1946), 507-522. Zbl 0060.06505, MR 0016750
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