On the existence of two-generator finite solvable groups with short derived series
type: Item
instance of: scholarly article
title: On the existence of two-generator finite solvable groups with short derived series
zbMATH Open document ID: 0863.30047
author: Buddha Prasad Chetiya
author: Sanjay Kumar Dutta
author: Kuntala Patra
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1997-05-27T00:00:00Z
review text: Let \(\ell,m, \mu\) be integers \(\geq 2\) with \((\ell,m) = (\mu,m) = 1\) and the triple \((\ell,m,\mu)\neq(2,3,2)\). The authors prove that the Fuchsian triangle group \((\ell,m, \mu \ell)\) has a solvable quotient \(G_n\) for each \(n\), of derived length \(\leq 3\). The construction supercedes, and is motivated by, earlier results on large solvable groups of automorphisms of compact Riemann surfaces.
Mathematics Subject Classification ID: 30F35
zbMATH DE Number: 903326
zbMATH Keywords: Jackson group
zbMATH Keywords: Iriangle groups
zbMATH Keywords: solvable groups
reviewed by: C. Maclachlan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 903326