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 |
. |
Category:
|
math |
. |
MSC:
|
05C10 |
MSC:
|
05C25 |
idZBL:
|
Zbl 1046.05021 |
idMR:
|
MR1986255 |
. |
Date available:
|
2009-09-25T14:13:26Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130205 |
. |
Reference:
|
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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:
|
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Reference:
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[9] BURNSIDE W.: Theory of Groups of Finite Order.Cambridge Univ. Press, Cambridge, 1911. |
Reference:
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[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:
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[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:
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[13] ISQUIERDO M.-SINGERMAN D.: .European J. Combin. 2 (1994), 159-172. |
Reference:
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[14] SCHONERT M., al.: GAP - Groups, Algorithms, and Programming.(4th ed.). Lehrstuhl D für Mathematik, Rheinisch Westfalische Technische Hochschule, Aachen (Germany), 1994. |
Reference:
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[15] GARBE D.: Über die reguldren Zerlegungen orientierbarer Flächen.J. Reine Angew. Math. 237 (1969), 39-55. MR 0246198 |
Reference:
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[16] JONES G.: Maps on surfaces and galois groups., Math. Slovaca 47 (1997), 1-33. Zbl 0958.05036, MR 1476746 |
Reference:
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[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:
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[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 |
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Reference:
|
[25] WILSON S.-BREDA D'AZEVEDO A.: Surfaces with no regular hypermaps.(Submitted). |
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