Voir la notice de l'article provenant de la source Cambridge University Press
Tărnăuceanu, Marius. On Finite Groups with Dismantlable Subgroup Lattices. Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 182-187. doi: 10.4153/CMB-2014-061-8
@article{10_4153_CMB_2014_061_8,
author = {T\u{a}rn\u{a}uceanu, Marius},
title = {On {Finite} {Groups} with {Dismantlable} {Subgroup} {Lattices}},
journal = {Canadian mathematical bulletin},
pages = {182--187},
year = {2015},
volume = {58},
number = {1},
doi = {10.4153/CMB-2014-061-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-061-8/}
}
[1] [1] Baker, K.A., Fishburn, P.C., Roberts, F.S., Partial orders of dimension z, interval orders, and interval graphs, Rand Corp. P-4376 (1970). Google Scholar
[2] [2] Birkhoff, G., Lattice theory. Third ed., American Mathematical Society Colloquium Publications, American Mathematical Society, Providence, R.I., 1967. Google Scholar
[3] [3] Grätzer, G., General lattice theory. Pure and Applied Mathematics, 6þ, Academic Press, New York-London, 1978. Google Scholar
[4] [4] Isaacs, I. M., Finite group theory. Graduate Studies in Mathematics, 92, Americna Mathematical Society, Providence, RI, 2008. Google Scholar
[5] [5] Kelly, D. and Rival, I., Crowns, fences, and dismantlable lattices. Canad. J. Math. 26 (1974), 1257. Google Scholar | DOI
[6] [6] Rival, I., Lattices with doubly irreducible elements. Canad. Math. Bull. 17(1974),. 1257–1271 Google Scholar | DOI
[7] [7] Schmidt, R., Subgroup lattices of groups. de Gruyter Expositions in Mathematics, 14, Walter de Gruyter, Berlin, 1994. Google Scholar
[8] [8] Schmidt, R., Planar subgroup lattices. Algebra Universalis, 55 (2006), no. 1, 3–12 Google Scholar
[9] [9] Suzuki, M., Structure of a group and the structure of its lattice of subgroups. Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge, Heft, 10, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1956. Google Scholar
[10] [10] Suzuki, M., Group theory. I Grundlehren der Mathematischen Wissenschaften, 248, Springer-Verlag, Berlin-New York, 1982, II. Grundlehren der Mathematischen Wissenschaften, 248, Springer-Verlag, New York, 1986. Google Scholar
[11] [11] Tărnăuceanu, M., Groups determined by posets of subgroups. Matrix Rom, Bucharest, 2006 Google Scholar
Cité par Sources :