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Sbornik: Mathematics, 2010, Volume 201, Issue 12, Pages 1715–1730
DOI: https://doi.org/10.1070/SM2010v201n12ABEH004128 (Mi sm7572) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Decomposability problem on branched coverings

N. A. V. Bedoyaa, D. L. Gonçalvesb

a Universidade Federal de São Carlos
b Universidade de São Paulo
English version PDF (352 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2010v201n12ABEH004128
Abstract: Given a branched covering of degree $d$ between closed surfaces, it determines a collection of partitions of $d$, the branch data. In this work we show that any branch data are realized by an indecomposable primitive branched covering on a connected closed surface $N$ with $\chi(N) \leq 0$. This shows that decomposable and indecomposable realizations may coexist. Moreover, we characterize the branch data of a decomposable primitive branched covering.
Bibliography: 20 titles.
Keywords: branched coverings, permutation groups.
Received: 27.04.2009 and 17.04.2010
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 12, Pages 3–20
DOI: https://doi.org/10.4213/sm7572
Bibliographic databases:
Document Type: Article
UDC: 515.162.2
MSC: 57M12, 57M10, 54C10
Language: English
Original paper language: Russian
Citation: N. A. V. Bedoya, D. L. Gonçalves, “Decomposability problem on branched coverings”, Mat. Sb., 201:12 (2010), 3–20; Sb. Math., 201:12 (2010), 1715–1730
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2010v201n12ABEH004128
  • https://www.mathnet.ru/eng/sm/v201/i12/p3
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:41
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