On the order of automorphism group of a compact bordered Riemann surface of genus four
type: Item
instance of: scholarly article
title: On the order of automorphism group of a compact bordered Riemann surface of genus four
zbMATH Open document ID: 0549.30032
author: Takao Kato
published in: Kodai Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: For non-negative integers g and \(k(2g+k-1\geq 2)\), let N(g,k) be the maximum of the orders of the automorphism groups of compact Riemann surfaces of genus g having k boundary components. it is well known that \(N(g,k)\leq 84(g-1)\) for every pair of g and k. For infinitely many values of g, N(g,0) are known and for every \(k\neq 0\), N(g,k) are known for \(g=0,1,2\) and 3. In this paper the author determines N(4,k) for every k.
Mathematics Subject Classification ID: 30F10
Mathematics Subject Classification ID: 14E05
zbMATH DE Number: 3875647
zbMATH Keywords: compact bordered Riemann surface
zbMATH Keywords: automorphism groups
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138036861
OpenAlex ID: W2082077838
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DOI: 10.2996/KMJ/1138036861
description: scientific article; zbMATH DE number 3875647