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Title: Constructing and forbidding automorphisms in lifted maps (English)
Author: Archdeacon, Dan
Author: Gvozdjak, Pavol
Author: Širáň, Jozef
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 47
Issue: 2
Year: 1997
Pages: 113-129
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Category: math
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MSC: 05C10
MSC: 57M10
idZBL: Zbl 1053.05503
idMR: MR1476862
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Date available: 2009-09-25T11:20:58Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/132370
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Reference: [1] ARCHDEACON D.-RICHTER R. B.-ŠIRÁŇ J.-ŠKOVIERA M.: Branched coverings of maps and lifts of map homomorphisms.Australas. J. Combin. 1 (1994), 109-121. Zbl 0804.05025, MR 1271195
Reference: [2] BRYANT R. P.-SINGERMAN D.: Foundations of theory of maps on surfaces with boundary.Quart. J. Math. Oxford Ser. (2) 1 (1985), 17-41. MR 0780347
Reference: [3] GROSS J. L.: Voltage graphs.Discrete Math. 1 (1974), 239-246. Zbl 0286.05106, MR 0347651
Reference: [4] GROSS J. L.-TUCKER T. W.: Topological Graph Theory.John Wiley & Sons, New York, 1987. Zbl 0621.05013, MR 0898434
Reference: [5] GRUNBAUM B.: Geometry and Combinatorics of Complexes.University of Washington Lecture Notes, 1974.
Reference: [6] GVOZDJAK P.-SIRAN J.: Regular maps from voltage assignments.In: Graph Structure Theory (N. Robertson, P. Seymour, eds.), Contemp. Math. 147, Amer. Math. Soc, Providence, RI, 1993, pp. 441-454. Zbl 0791.05025, MR 1224722
Reference: [7] JENDROL S.-NEDELA R.-SKOVIERA, M,: Constructing regular maps and graphs from planar quotients.Math. Slovaca 47, 155-170. Zbl 1053.05505, MR 1476864
Reference: [8] JONES G. A.-SINGERMAN D.: Theory of maps on orientable surfaces.Proc London Math. Soc (3) 1 (1978), 273-307. Zbl 0391.05024, MR 0505721
Reference: [9] MacBEATH A. M.: Generators of the linear fractional groups.In: Number Theory (Proc. Sympos. Pure Math. Vol. XII, Houston, Tex.-1967), Amer. Math. Soc, Providence, R.I., 1969, pp. 14-32. MR 0262379
Reference: [10] NEDELA R.-SKOVIERA M.: Exponents of orientable maps.Proc. London Math. Soc (3) 75 (1997), 1-31. Zbl 0877.05012, MR 1444311
Reference: [11] SINGERMAN D.: Maps on surfaces with boundary.Ars Combin. 1 (1983), 227-238. Zbl 0555.05033, MR 0737094
Reference: [12] TUTTE W. T.: Graph Theory.Cambridge University Press, Cambridge, 1984. Zbl 0554.05001, MR 0777187
Reference: [13] WHITE A. T.: Graphs, Groups and Surfaces.North Holland, Amsterdam, 1984. Zbl 0551.05037, MR 0780555
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