@article{MASLO_2003_53_2_a0,
author = {Breda d'Azevedo, Antonio J. and Nedela, Roman},
title = {Chiral hypermaps with few hyperfaces},
journal = {Mathematica slovaca},
pages = {107--128},
year = {2003},
volume = {53},
number = {2},
mrnumber = {1986255},
zbl = {1046.05021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_2003_53_2_a0/}
}
Breda d'Azevedo, Antonio J.; Nedela, Roman. Chiral hypermaps with few hyperfaces. Mathematica slovaca, Tome 53 (2003) no. 2, pp. 107-128. http://geodesic.mathdoc.fr/item/MASLO_2003_53_2_a0/
[1] BREDA D'AZEVEDO A.: The reflexible hypermaps of characteristic -2. Math. Slovaca 47 (1997), 131-153. | MR | Zbl
[2] BREDA D'AZEVEDO A.: Face-class action. Geometria, Física-Matemática e outros Ensaios, Dep. Mat. Coimbra (1998), 55-67.
[3] BREDA D'AZEVEDO A.-JONES G.: Double coverings and reflexible abelian hypermaps. Contrib. Algebra Geom. 41 (2000), 371-389. | MR
[4] BREDA D'AZEVEDO A.-JONES G.: Platonic hypermaps. Beitrage Algebra Geom. 42 (2001), 1-37. | MR | Zbl
[5] BREDA D'AZEVEDO A.-JONES G.: Rotary hypermaps of genus 2. Beitrage Algebra Geom. 42 (2001), 39-58. | MR | Zbl
[6] BREDA D'AZEVEDO A.-JONES G.-NEDELA R.-SKOVIERA M.: Chirality index of maps and hypermaps. (Submitted).
[7] BREDA D'AZEVEDO A.-NEDELA R.: Chiral hypermaps of small genus. Beitrage Algebra Geom. 44 (2003), 127-143. | MR | Zbl
[8] BRYANT R. P.-SINGERMAN D.: Foundations of the theory of maps on surfaces with boundary. Quart. J. Math. Oxford Ser. (2) 36 (1985), 17-41. | MR | Zbl
[9] BURNSIDE W.: Theory of Groups of Finite Order. Cambridge Univ. Press, Cambridge, 1911.
[10] CONDER M.-DOBCSANYI P.: Determination of all regular maps of small genus. J. Combin. Theory Ser. B 81 (2001), 224-242. | MR | Zbl
[11] CORN D.-SINGERMAN D.: Regular hypermaps. European J. Combin. 9 (1988), 337-351. | MR | Zbl
[12] COXETER H. S. M.-MOSER W. O. J.: Generators and Relations for Discrete groups. (3rd ed.), Springer-Verlag, New York, 1972. | MR | Zbl
[13] ISQUIERDO M.-SINGERMAN D.: European J. Combin. 2 (1994), 159-172.
[14] SCHONERT M., al.: GAP - Groups, Algorithms, and Programming. (4th ed.). Lehrstuhl D für Mathematik, Rheinisch Westfalische Technische Hochschule, Aachen (Germany), 1994.
[15] GARBE D.: Über die reguldren Zerlegungen orientierbarer Flächen. J. Reine Angew. Math. 237 (1969), 39-55. | MR
[16] JONES G.: Maps on surfaces and galois groups. Math. Slovaca 47 (1997), 1-33. | MR | Zbl
[17] JONES G.-SINGERMAN D.: Theory of maps on orientable surfaces. Proc. London Math. Soc. (3) 37 (1978), 273-307. | MR | Zbl
[18] JONES G.-SINGERMAN D.: Belyi functions, hypermaps and Galois groups. Bull. London Math. Soc. 28 (1996), 561-590. | MR | Zbl
[19] JONES G. A.-SINGERMAN D.-WILSON S.: Chiral triangular maps and non-symmetric Riemann surfaces. Preprint.
[20] JONSON D. L.: Topics in the Theory of Group Presentations. London Math. Soc. Lecture Note Ser. 42, Cambridge Univ. Press, Cambridge, 1980. | MR
[21] NEDELA R.-SKOVIERA M.: Exponents of orientable maps. Proc. London Math. Soc. (3) 75 (1997), 1-31. | MR | Zbl
[22] SHERK F. A.: The regular maps on a surface of genus three. Canad. J. Math. 11 (1959), 452-480. | MR | Zbl
[23] VINCE A.: Combinatorial maps. J. Combin. Theory Ser. B 34 (1983), 1-21. | MR | Zbl
[24] WALSH T. R. S. : Hypermaps versus bipartite maps. J. Combin. Theory Ser. B 18 (1975), 155-163. | MR | Zbl
[25] WILSON S.-BREDA D'AZEVEDO A.: Surfaces with no regular hypermaps. (Submitted).