Determination of all Regular Maps of Small Genus

Journal of Combinatorial Theory. Series B

Volumn 81, Issue 2, 2001, Pages 224-242

  Conder, Marston ^a   Dobcsányi, Peter ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042403201     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1006/jctb.2000.2008     Document Type: Article

References (10)

1. P. Bergau and D. Garbe, Nonorientable and orientable regular maps, in "Proceedings of Groups - Korea, 1988," Springer Lecture Notes in Mathematics, Vol. 1398, pp. 29-42, Springer-Verlag, New York/Berlin.
2. N. L. Biggs and A. T. White, "Permutation Groups and Combinatorial Structures," London Math. Society Lecture Note Series, Vol. 33, Cambridge University Press, Cambridge, UK, 1979.
3. W. Bosma and J. Cannon, "Handbook of Magma Functions," University of Sydney, Sydney, 1994.
4. H. R. Brahana, Regular maps and their groups, Amer. J. Math. 49 (1927), 268-284.
5. M. D. E. Conder and P. Dobcsányi, Applications and adaptations of the low index subgroups procedure, preprint [currently available on the world-wide web at the URL http://www.math.auckland.ac.nz/~conder/preprints/lowindex.ps].
6. M. D. E. Conder and B. J. Everitt, Regular maps on non-orientable surfaces, Geom. Dedicata 56 (1995), 209-219.
7. H. S. M. Coxeter and W. O. J. Moser, "Generators and Relations for Discrete Groups," 4th ed., Springer-Verlag, Berlin, 1980.
8. P. Dobcsányi, "Adaptations, Parallelisation and Applications of the Low-Index Subgroups Algorithm," Ph.D. thesis, University of Auckland, 1999.
9. G. A. Jones and D. Singerman, Theory of maps on orientable surfaces, Proc. London Math. Soc. 37 (1978), 273-307.
10. S. E. Wilson, Operators over regular maps, Pacific J. Math. 81 (1979), 559-568.