On the automorphism group of a toroidal hypermap
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 26 (1992) no. 6, pp. 523-540.
@article{ITA_1992__26_6_523_0,
     author = {Cacciari, Leo},
     title = {On the automorphism group of a toroidal hypermap},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {523--540},
     publisher = {EDP-Sciences},
     volume = {26},
     number = {6},
     year = {1992},
     zbl = {0768.30029},
     mrnumber = {1195743},
     language = {en},
     url = {http://www.numdam.org/item/ITA_1992__26_6_523_0/}
}
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PY  - 1992
DA  - 1992///
SP  - 523
EP  - 540
VL  - 26
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UR  - https://zbmath.org/?q=an%3A0768.30029
UR  - https://www.ams.org/mathscinet-getitem?mr=1195743
LA  - en
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Cacciari, Leo. On the automorphism group of a toroidal hypermap. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 26 (1992) no. 6, pp. 523-540. http://www.numdam.org/item/ITA_1992__26_6_523_0/

1. W. Burnside, Theory of Groups of Finite Order, 2nd Ed., 1911. | JFM 42.0151.02

2. L. Cacciari, Hypercartes Combinatoires : Automorphismes et Systèmes d'Équations Algébriques, Thèse de doctorat, Université Bordeaux-I, Bordeaux, 1989.

3. R. Cori, Un code pour les cartes planaires et ses applications, Astérisque, 1975, 27, Paris. | Zbl 0313.05115

4. R. Cori and A. Machì, Construction of Maps with Prescribed Automorphism Group, T.C.S., 1982, 21, pp. 91-98. | MR 672104 | Zbl 0495.05050

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. | MR 638407 | Zbl 0472.05049

6. J. Edmonds, A Combinatorial Representation for Polyedral Surfaces, Notices Amer. Math. Soc., 1960, 7, p. 646.

7. A. H. M. Hoare, A. Karras and D. Solitar, Subgroups of Finite Index of Fuchsian Group, Math. Z., 1971, 120, pp. 289-298. | MR 285619 | Zbl 0223.20053

8. A. H. M. Hoare, A. Karras and D. Solitar, Subgroups of Infinite Index of Fuchsian Group, Math. Z., 1972, 125, pp. 59-69. | MR 292948 | Zbl 0223.20054

9. A. Jacques, Constellations et propriétés algébriques des graphes topologiques, Ph. D. Thesis, 1969, Paris.

10. G. A. Jones and D. Singerman, Theory of Maps on Orientable Surfaces, Proc. London Math. Soc., (3), 1978, 37, pp. 273-307. | MR 505721 | Zbl 0391.05024

11. A. Machì, The Riemann-Hurwitz formula for the centralizer of a pair of permutations, Arch. Math., 1984, 42, pp. 280-288. | MR 751506 | Zbl 0522.20003

12. W. Magnus, A. Karras and D. Solitar, Combinatorial group Theory 2nd Ed., Dover Pub. Inc. New York, 1976. | MR 422434 | Zbl 0362.20023

13. D. Singerman, Subgroups of Fuchsian Group and Finite Permutations Groups, Bull. Lond. Math. Soc., 1970, 2, pp. 319-323. | Zbl 0206.30804