Families of finite coverings of the Riemann sphere
type: Item
instance of: scholarly article
title: Families of finite coverings of the Riemann sphere
zbMATH Open document ID: 1251.14019
author: Takashi Masuda
published in: Osaka Journal of Mathematics
publication date: 2012-02-10T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ojm/1315318351
review text: The paper under review deals with coverings of the projective line, in particular with \((G,H)\)-coverings, i.e. coverings whose permutation monodromy representation is equivalent to that of the group \(G\) on the set of left cosets \(G/H\) (the subgroup \(H\) here does not contain any non-trivial normal subgroup of \(G\)). For fixed \(G\) and \(H\) the authors define a \textsl{Hurwitz family} a non-degenerate family of \((G,H)\)-coverings containing all such coverings topologically equivalent to a given one such that different members of it are not isomorphic. They discuss the problem of the existence of such families and give a criterion in some special cases.
reviewed by: Eleonora Palmieri
Mathematics Subject Classification ID: 14H37
Mathematics Subject Classification ID: 14H30
zbMATH DE Number: 6005137
zbMATH Keywords: coverings
zbMATH Keywords: Hurwitz family
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6005137