Constructing and forbidding automorphisms in lifted maps

Dan Archdeacon; Pavol Gvozdjak; Jozef Širáň

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 2, page 113-129
  • ISSN: 0232-0525

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Archdeacon, Dan, Gvozdjak, Pavol, and Širáň, Jozef. "Constructing and forbidding automorphisms in lifted maps." Mathematica Slovaca 47.2 (1997): 113-129. <http://eudml.org/doc/32282>.

@article{Archdeacon1997,
author = {Archdeacon, Dan, Gvozdjak, Pavol, Širáň, Jozef},
journal = {Mathematica Slovaca},
keywords = {covering map; lifted map; automorphism},
language = {eng},
number = {2},
pages = {113-129},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Constructing and forbidding automorphisms in lifted maps},
url = {http://eudml.org/doc/32282},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Archdeacon, Dan
AU - Gvozdjak, Pavol
AU - Širáň, Jozef
TI - Constructing and forbidding automorphisms in lifted maps
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 2
SP - 113
EP - 129
LA - eng
KW - covering map; lifted map; automorphism
UR - http://eudml.org/doc/32282
ER -

References

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  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. (1994) Zbl0804.05025MR1271195
  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. (1985) MR0780347
  3. GROSS J. L., Voltage graphs, Discrete Math. 1 (1974), 239-246. (1974) Zbl0286.05106MR0347651
  4. GROSS J. L.-TUCKER T. W., Topological Graph Theory, John Wiley & Sons, New York, 1987. (1987) Zbl0621.05013MR0898434
  5. GRUNBAUM B., Geometry and Combinatorics of Complexes, University of Washington Lecture Notes, 1974. (1974) 
  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. (1993) Zbl0791.05025MR1224722
  7. JENDROL S.-NEDELA R.-SKOVIERA, M,, Constructing regular maps and graphs from planar quotients, Math. Slovaca 47, 155-170. Zbl1053.05505MR1476864
  8. JONES G. A.-SINGERMAN D., Theory of maps on orientable surfaces, Proc London Math. Soc (3) 1 (1978), 273-307. (1978) Zbl0391.05024MR0505721
  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. (1967) MR0262379
  10. NEDELA R.-SKOVIERA M., Exponents of orientable maps, Proc. London Math. Soc (3) 75 (1997), 1-31. (1997) Zbl0877.05012MR1444311
  11. SINGERMAN D., Maps on surfaces with boundary, Ars Combin. 1 (1983), 227-238. (1983) Zbl0555.05033MR0737094
  12. TUTTE W. T., Graph Theory, Cambridge University Press, Cambridge, 1984. (1984) Zbl0554.05001MR0777187
  13. WHITE A. T., Graphs, Groups and Surfaces, North Holland, Amsterdam, 1984. (1984) Zbl0551.05037MR0780555

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