On the Occurrence of the Complete Graph K 5 in the Hasse Graph of a Finite Group
Rendiconti del Seminario Matematico della Università di Padova, Tome 115 (2006), pp. 99-124.
@article{RSMUP_2006__115__99_0,
     author = {Schmidt, Roland},
     title = {On the {Occurrence} of the {Complete} {Graph} $K_5$ in the {Hasse} {Graph} of a {Finite} {Group}},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {99--124},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {115},
     year = {2006},
     mrnumber = {2245590},
     zbl = {1167.20314},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_2006__115__99_0/}
}
TY  - JOUR
AU  - Schmidt, Roland
TI  - On the Occurrence of the Complete Graph $K_5$ in the Hasse Graph of a Finite Group
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2006
SP  - 99
EP  - 124
VL  - 115
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_2006__115__99_0/
LA  - en
ID  - RSMUP_2006__115__99_0
ER  - 
%0 Journal Article
%A Schmidt, Roland
%T On the Occurrence of the Complete Graph $K_5$ in the Hasse Graph of a Finite Group
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2006
%P 99-124
%V 115
%I Seminario Matematico of the University of Padua
%U http://archive.numdam.org/item/RSMUP_2006__115__99_0/
%G en
%F RSMUP_2006__115__99_0
Schmidt, Roland. On the Occurrence of the Complete Graph $K_5$ in the Hasse Graph of a Finite Group. Rendiconti del Seminario Matematico della Università di Padova, Tome 115 (2006), pp. 99-124. http://archive.numdam.org/item/RSMUP_2006__115__99_0/

[1] N. Blackburn, Generalizations of certain elementary theorems on p-groups, Proc. London Math. Soc., (3) 11 (1961), pp. 1-22. | MR | Zbl

[2] B. Bollobás, Modern graph theory, Springer, New York, 1998. | MR | Zbl

[3] B. Huppert, Endliche Gruppen I, Springer, Berlin, 1967. | MR | Zbl

[4] D. Kelly - I. Rival, Planar lattices, Can. J. Math., 27 (1975), pp. 636-665. | MR | Zbl

[5] R. Schmidt, Subgroup lattices of groups, De Gruyter, Berlin, 1994. | MR | Zbl

[6] R. Schmidt, L-free groups, Illinois J. Math., 47 (2003), pp. 515-528. | MR | Zbl

[7] R. Schmidt, Planar subgroup lattices, to appear in Algebra Universalis. | MR | Zbl