Distribution of branched \(\mathbb{D}_ p\)-coverings of surfaces
type: Item
instance of: scholarly article
title: Distribution of branched \(\mathbb{D}_ p\)-coverings of surfaces
zbMATH Open document ID: 0891.57005
DOI: 10.1016/S0012-365X(97)00030-7
author: Jaeun Lee
author: Jin Ho Kwak
published in: Discrete Mathematics
publication date: 1998-07-19T00:00:00Z
review text: The basic question of the paper is the following: In how many different ways can a given surface (a compact 2-manifold without boundary) be a branched covering of another given surface? In previous work, the authors with \textit{S.-G. Kim} [Discrete Math. 156, No. 1-3, 141-170 (1996; Zbl 0861.57003)] enumerated the equivalence classes of regular branched prime-fold coverings of a given surface. In the present work, this is generalized to the case of dihedral branched coverings, or more precisely to the regular branched coverings where the covering group is a dihedral group \(\mathbb{D}_p\) of order \(2p\) where \(p\) is prime. Equivalently, this gives the number of \(\mathbb{D}_p\)-actions on surfaces with a given quotient surface.
Mathematics Subject Classification ID: 57M12
zbMATH DE Number: 1130774
zbMATH Keywords: branched coverings of surfaces
reviewed by: Bruno Zimmermann
MaRDI profile type: Publication
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full work available at URL: s0012-365x(97)00030-7
OpenAlex ID: W1802773546
description: scientific article; zbMATH DE number 1130774