On certain quotients of the triangle groups
type: Item
instance of: scholarly article
title: On certain quotients of the triangle groups
zbMATH Open document ID: 0835.20043
published in: Journal of Algebra
publication date: 1996-04-10T00:00:00Z
review text: \textit{J. Howie} and \textit{R. M. Thomas} [J. Algebra 154, No. 2, 289-309 (1993; Zbl 0791.20032)] have obtained necessary and sufficient conditions for the groups \((2,3,p;q)\) to be finite with the exception of two groups, namely, \((2,3,13;4)\) and \((2,3,7;11)\). By developing the asphericity and cohomological arguments of Howie and Thomas [loc. cit.], and combining them with the curvature method developed earlier by the author [Proc. Lond. Math. Soc., III. Ser. 63, 563-589 (1991; Zbl 0683.20022)], he obtains necessary and sufficient conditions for \((m, n, p;q)\) to be finite.
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 682577
zbMATH Keywords: finiteness
zbMATH Keywords: Tietze transformations
zbMATH Keywords: triangle groups
zbMATH Keywords: asphericity
zbMATH Keywords: cohomological arguments
zbMATH Keywords: curvature method
author: M. Edjvet
reviewed by: Qaiser Mushtaq
MaRDI profile type: Publication
full work available at URL: jabr.1994.1290
OpenAlex ID: W2076821965
DOI: 10.1006/JABR.1994.1290
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description: scientific article; zbMATH DE number 682577