Title of article :
Distributions of regular branched surface coverings
Author/Authors :
Goulden، نويسنده , , I.P. and Kwak، نويسنده , , Jin-Ho and Lee، نويسنده , , Jaeun، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2004
Abstract :
In a study of surface branched coverings, one can ask naturally: In how many different ways can a given surface be a branched covering of another given surface? This problem was studied by many authors in Quart. J. Math. Oxford Ser. 2 46 (1995) 485, Math. Scand. 84 (1999) 23, Discrete Math. 156 (1996) 141, Discrete Math. 183 (1998) 193, Discrete Math. (in press), European J. Combin. 22 (2001) 1125, Sibirsk. Mat. Zh. 25 (1984) 606 etc. In this paper, as a complete answer to the question for regular coverings, we determine the distribution of the regular branched coverings of any nonorientable surface S when the covering transformation group and a set of branch points are freely assigned.
Keywords :
Surface branched coverings , Distribution , character
Journal title :
European Journal of Combinatorics
Journal title :
European Journal of Combinatorics