| 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 |
| . |
| Category:
|
math |
| . |
| 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 |
| . |
| Date available:
|
2009-01-08T18:51:18Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119077 |
| . |
| 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 |
| . |
