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Title: Chiral hypermaps with few hyperfaces (English)
Author: Breda d'Azevedo, Antonio J.
Author: Nedela, Roman
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 53
Issue: 2
Year: 2003
Pages: 107-128
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Category: math
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MSC: 05C10
MSC: 05C25
idZBL: Zbl 1046.05021
idMR: MR1986255
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Date available: 2009-09-25T14:13:26Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/130205
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Reference: [1] BREDA D'AZEVEDO A.: The reflexible hypermaps of characteristic -2.Math. Slovaca 47 (1997), 131-153. Zbl 1053.05504, MR 1476863
Reference: [2] BREDA D'AZEVEDO A.: Face-class action.Geometria, Física-Matemática e outros Ensaios, Dep. Mat. Coimbra (1998), 55-67.
Reference: [3] BREDA D'AZEVEDO A.-JONES G.: Double coverings and reflexible abelian hypermaps.Contrib. Algebra Geom. 41 (2000), 371-389. MR 1801428
Reference: [4] BREDA D'AZEVEDO A.-JONES G.: Platonic hypermaps.Beitrage Algebra Geom. 42 (2001), 1-37. Zbl 0968.05022, MR 1824748
Reference: [5] BREDA D'AZEVEDO A.-JONES G.: Rotary hypermaps of genus 2.Beitrage Algebra Geom. 42 (2001), 39-58. Zbl 0968.05023, MR 1824749
Reference: [6] BREDA D'AZEVEDO A.-JONES G.-NEDELA R.-SKOVIERA M.: Chirality index of maps and hypermaps.(Submitted).
Reference: [7] BREDA D'AZEVEDO A.-NEDELA R.: Chiral hypermaps of small genus.Beitrage Algebra Geom. 44 (2003), 127-143. Zbl 1014.05020, MR 1990988
Reference: [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. Zbl 0565.05026, MR 0780347
Reference: [9] BURNSIDE W.: Theory of Groups of Finite Order.Cambridge Univ. Press, Cambridge, 1911.
Reference: [10] CONDER M.-DOBCSANYI P.: Determination of all regular maps of small genus.J. Combin. Theory Ser. B 81 (2001), 224-242. Zbl 1028.05045, MR 1814906
Reference: [11] CORN D.-SINGERMAN D.: Regular hypermaps.European J. Combin. 9 (1988), 337-351. Zbl 0665.57002, MR 0950053
Reference: [12] COXETER H. S. M.-MOSER W. O. J.: Generators and Relations for Discrete groups.(3rd ed.), Springer-Verlag, New York, 1972. Zbl 0239.20040, MR 0349820
Reference: [13] ISQUIERDO M.-SINGERMAN D.: .European J. Combin. 2 (1994), 159-172.
Reference: [14] SCHONERT M., al.: GAP - Groups, Algorithms, and Programming.(4th ed.). Lehrstuhl D für Mathematik, Rheinisch Westfalische Technische Hochschule, Aachen (Germany), 1994.
Reference: [15] GARBE D.: Über die reguldren Zerlegungen orientierbarer Flächen.J. Reine Angew. Math. 237 (1969), 39-55. MR 0246198
Reference: [16] JONES G.: Maps on surfaces and galois groups., Math. Slovaca 47 (1997), 1-33. Zbl 0958.05036, MR 1476746
Reference: [17] JONES G.-SINGERMAN D.: Theory of maps on orientable surfaces.Proc. London Math. Soc. (3) 37 (1978), 273-307. Zbl 0391.05024, MR 0505721
Reference: [18] JONES G.-SINGERMAN D.: Belyi functions, hypermaps and Galois groups.Bull. London Math. Soc. 28 (1996), 561-590. Zbl 0853.14017, MR 1405488
Reference: [19] JONES G. A.-SINGERMAN D.-WILSON S.: Chiral triangular maps and non-symmetric Riemann surfaces.Preprint.
Reference: [20] JONSON D. L.: Topics in the Theory of Group Presentations.London Math. Soc. Lecture Note Ser. 42, Cambridge Univ. Press, Cambridge, 1980. MR 0695161
Reference: [21] NEDELA R.-SKOVIERA M.: Exponents of orientable maps.Proc. London Math. Soc. (3) 75 (1997), 1-31. Zbl 0877.05012, MR 1444311
Reference: [22] SHERK F. A.: The regular maps on a surface of genus three.Canad. J. Math. 11 (1959), 452-480. Zbl 0086.16102, MR 0107203
Reference: [23] VINCE A.: Combinatorial maps.J. Combin. Theory Ser. B 34 (1983), 1-21. Zbl 0514.05032, MR 0701167
Reference: [24] WALSH T. R. S. : Hypermaps versus bipartite maps.J. Combin. Theory Ser. B 18 (1975), 155-163. Zbl 0302.05101, MR 0360328
Reference: [25] WILSON S.-BREDA D'AZEVEDO A.: Surfaces with no regular hypermaps.(Submitted).
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