On the Occurrence of the Complete Graph K 5 in the Hasse Graph of a Finite Group

Roland Schmidt

Rendiconti del Seminario Matematico della Università di Padova (2006)

  • Volume: 115, page 99-124
  • ISSN: 0041-8994

How to cite

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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 115 (2006): 99-124. <http://eudml.org/doc/108688>.

@article{Schmidt2006,
author = {Schmidt, Roland},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite groups; subgroup lattices; Hasse diagrams},
language = {eng},
pages = {99-124},
publisher = {Seminario Matematico of the University of Padua},
title = {On the Occurrence of the Complete Graph $K_5$ in the Hasse Graph of a Finite Group},
url = {http://eudml.org/doc/108688},
volume = {115},
year = {2006},
}

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
PB - Seminario Matematico of the University of Padua
VL - 115
SP - 99
EP - 124
LA - eng
KW - finite groups; subgroup lattices; Hasse diagrams
UR - http://eudml.org/doc/108688
ER -

References

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  1. [1] N. BLACKBURN, Generalizations of certain elementary theorems on p-groups, Proc. London Math. Soc., (3) 11 (1961), pp. 1-22. Zbl0102.01903MR122876
  2. [2] B. BOLLOBÁS, Modern graph theory, Springer, New York, 1998. Zbl0902.05016MR1633290
  3. [3] B. HUPPERT, Endliche Gruppen I, Springer, Berlin, 1967. Zbl0217.07201MR224703
  4. [4] D. KELLY - I. RIVAL, Planar lattices, Can. J. Math., 27 (1975), pp. 636-665. Zbl0312.06003MR382086
  5. [5] R. SCHMIDT, Subgroup lattices of groups, De Gruyter, Berlin, 1994. Zbl0843.20003MR1292462
  6. [6] R. SCHMIDT, L-free groups, Illinois J. Math., 47 (2003), pp. 515-528. Zbl1053.20021MR2031337
  7. [7] R. SCHMIDT, Planar subgroup lattices, to appear in Algebra Universalis. Zbl1122.20008MR2217274

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