Title:
|
Some finite congruence lattices, I (English) |
Author:
|
Tůma, Jiří |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
36 |
Issue:
|
2 |
Year:
|
1986 |
Pages:
|
298-330 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
08A30 |
MSC:
|
20D30 |
idZBL:
|
Zbl 0612.08001 |
idMR:
|
MR831317 |
DOI:
|
10.21136/CMJ.1986.102093 |
. |
Date available:
|
2008-06-09T15:10:47Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102093 |
. |
Reference:
|
[1] G. Birkhoff: On the structure of abstract algebras.Proc. Cambridge Phil. Soc., Vol. 31 (1935), 433-454. Zbl 0013.00105 |
Reference:
|
[2] N. Bourbaki: Groupes et algebres de Lie, Chap. 4, 5 et 6, Éléments de mathématique.Fase. XXXIV, Hermann, Paris, 1968. MR 0453824 |
Reference:
|
[3] R. W. Carter: Simple groups of Lie type.Wiley, London, 1972. Zbl 0248.20015, MR 0407163 |
Reference:
|
[4] R. McKenzie: Finite forbidden lattices.Lecture Notes in Math., No. 1004, Springer Verlag (1983), 176-205. Zbl 0523.06012, MR 0716183, 10.1007/BFb0063438 |
Reference:
|
[5] R. McKenzie: Tame congruences.preprint. Zbl 0602.08002, MR 0860270 |
Reference:
|
[6] R. McKenzie: The structure of finite algebras.preprint. Zbl 0849.08001, MR 0825046 |
Reference:
|
[7] P. P. Pálfy, P. Pudlák: Congruence lattices of finite algebras and intervals in subgroup lattices of finite groups.Algebra Universalis, 11 (1980), 22-27. MR 0593011, 10.1007/BF02483080 |
Reference:
|
[8] P. Pudlák: Distributivity of strongly representable lattices.Algebra Universalis, 7 (1977), 85-92. MR 0429673, 10.1007/BF02485418 |
Reference:
|
[9] P. Pudlák, J. Tůma: Yeast graphs and fermentation of algebraic lattices.Coll. Math. Soc. János Bolyai, 14. Lattice Theory, Szeged, 1974. MR 0441799 |
Reference:
|
[10] J. Tits: Buildings of spherical type and finite BN-pairs.Lecture Notes in Math., No. 386, Springer Verlag (1974). Zbl 0295.20047, MR 0470099 |
Reference:
|
[11] J. Tits: A local approach to buildings, in "The geometric vein (The Coxeter Festschrift)".edited by С. Davis, B. Grünbaum and F. A. Sherk, Springer Verlag (1981), 519-547. MR 0661801 |
Reference:
|
[12] P. Pudlák, J. Tůma: Every finite lattice can be embedded in a finite partition lattice.Algebra Universalis 10 (1980), 74-95. MR 0552159, 10.1007/BF02482893 |
Reference:
|
[13] H. L. Silcock: Generalized wreath products and the lattice of normal subgroups of a group.Algebra Universalis, 7 (1977) 361-372. Zbl 0366.20027, MR 0442100 |
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