On the automorphism group of a toroidal hypermap

Leo Cacciari

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1992)

  • Volume: 26, Issue: 6, page 523-540
  • ISSN: 0988-3754

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Cacciari, Leo. "On the automorphism group of a toroidal hypermap." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 26.6 (1992): 523-540. <http://eudml.org/doc/92431>.

@article{Cacciari1992,
author = {Cacciari, Leo},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {genus; involution; brins; hypermap; toroidal; permutation},
language = {eng},
number = {6},
pages = {523-540},
publisher = {EDP-Sciences},
title = {On the automorphism group of a toroidal hypermap},
url = {http://eudml.org/doc/92431},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Cacciari, Leo
TI - On the automorphism group of a toroidal hypermap
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1992
PB - EDP-Sciences
VL - 26
IS - 6
SP - 523
EP - 540
LA - eng
KW - genus; involution; brins; hypermap; toroidal; permutation
UR - http://eudml.org/doc/92431
ER -

References

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  1. 1. W. BURNSIDE, Theory of Groups of Finite Order, 2nd Ed., 1911. Zbl42.0151.02JFM42.0151.02
  2. 2. L. CACCIARI, Hypercartes Combinatoires : Automorphismes et Systèmes d'Équations Algébriques, Thèse de doctorat, Université Bordeaux-I, Bordeaux, 1989. 
  3. 3. R. CORI, Un code pour les cartes planaires et ses applications, Astérisque, 1975, 27, Paris. Zbl0313.05115
  4. 4. R. CORI and A. MACHÌ, Construction of Maps with Prescribed Automorphism Group, T.C.S., 1982, 21, pp. 91-98. Zbl0495.05050MR672104
  5. 5. R. CORI, A. MACHÌ, J. G. PENAUD and B. VAUQUELIN, On the Automorphism Group of a Planar Hypermap, E. J. Combinatorics, 1981, 2, pp. 331-334. Zbl0472.05049MR638407
  6. 6. J. EDMONDS, A Combinatorial Representation for Polyedral Surfaces, Notices Amer. Math. Soc., 1960, 7, p. 646. 
  7. 7. A. H. M. HOARE, A. KARRAS and D. SOLITAR, Subgroups of Finite Index of Fuchsian Group, Math. Z., 1971, 120, pp. 289-298. Zbl0223.20053MR285619
  8. 8. A. H. M. HOARE, A. KARRAS and D. SOLITAR, Subgroups of Infinite Index of Fuchsian Group, Math. Z., 1972, 125, pp. 59-69. Zbl0223.20054MR292948
  9. 9. A. JACQUES, Constellations et propriétés algébriques des graphes topologiques, Ph. D. Thesis, 1969, Paris. 
  10. 10. G. A. JONES and D. SINGERMAN, Theory of Maps on Orientable Surfaces, Proc. London Math. Soc., (3), 1978, 37, pp. 273-307. Zbl0391.05024MR505721
  11. 11. A. MACHÌ, The Riemann-Hurwitz formula for the centralizer of a pair of permutations, Arch. Math., 1984, 42, pp. 280-288. Zbl0522.20003MR751506
  12. 12. W. MAGNUS, A. KARRAS and D. SOLITAR, Combinatorial group Theory 2nd Ed., Dover Pub. Inc. New York, 1976. Zbl0362.20023MR422434
  13. 13. D. SINGERMAN, Subgroups of Fuchsian Group and Finite Permutations Groups, Bull. Lond. Math. Soc., 1970, 2, pp. 319-323. Zbl0206.30804

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