A note on the rank of self-dual polyhedra

Stanislav Jendroľ; Brigitte Servatius; Herman Servatius

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 2, page 171-174
  • ISSN: 0139-9918

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Jendroľ, Stanislav, Servatius, Brigitte, and Servatius, Herman. "A note on the rank of self-dual polyhedra." Mathematica Slovaca 47.2 (1997): 171-174. <http://eudml.org/doc/32299>.

@article{Jendroľ1997,
author = {Jendroľ, Stanislav, Servatius, Brigitte, Servatius, Herman},
journal = {Mathematica Slovaca},
keywords = {polyhedron; self-duality; rank; automorphism},
language = {eng},
number = {2},
pages = {171-174},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A note on the rank of self-dual polyhedra},
url = {http://eudml.org/doc/32299},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Jendroľ, Stanislav
AU - Servatius, Brigitte
AU - Servatius, Herman
TI - A note on the rank of self-dual polyhedra
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 2
SP - 171
EP - 174
LA - eng
KW - polyhedron; self-duality; rank; automorphism
UR - http://eudml.org/doc/32299
ER -

References

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  1. ASHLEY J.-GRÜNBAUM B.-SHEPHARD G. C.-STROMQUIST W., Self-duality groups and ranks of self-dualities, In: Applied Geometry and Discrete Mathematics, The Victor Klee Festschrift, DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 4, Amer. Math. Soc, Providence, RI, 1991, pp. 11-50. (1991) Zbl0752.52003MR1116336
  2. COXETER H. S. M.-MOSER W. O. J., Generators and relations for discrete groups, Ergeb. Math. Grenzgeb. (3) 14, Springer Verlag, Berlin, 1972. (1972) Zbl0239.20040MR0349820
  3. JENDROL' S., A non-involutory self duality, Discrete Math. 74 (1989), 325-326. (1989) MR0992743
  4. JENDROL' S., On symmetry groups of self-dual convex polyhedra, Ann. Discrete Math. 51 (1992), 129-135. (1992) MR1206254
  5. SERVATIUS B.-SERVATIUS H., Self-dual maps on the sphere, Discrete Math. 134 (1994), 139-150. (1994) Zbl0814.05031MR1303403
  6. SERVATIUS B.-SERVATIUS H., The 24 symmetry pairings of self-dual maps on the sphere, Discrete Math. 140 (1995), 167-183. (1995) Zbl0829.05021MR1333718

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