<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Everitt, Brent</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Permutation representations of the (2,4,r) triangle groups</style></title><secondary-title><style face="normal" font="default" size="100%">Bull. Austral. Math. Soc.</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Algebra</style></keyword><keyword><style  face="normal" font="default" size="100%">Pure Mathematics</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">1994</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://dx.doi.org/doi:10.1017/S0004972700016609</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">49</style></volume><pages><style face="normal" font="default" size="100%">499-511</style></pages><isbn><style face="normal" font="default" size="100%">0004-9727</style></isbn><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">The abstract triangle groups Δ(2, 4, r) can be defined for any positive integer r by Δ(2, 4, r) = (x, y | x2 = y4 = (xy)r = 1). In this paper we show that for every r ≥ 6, all but finitely many of the alternating groups An can be obtained as quotients of Δ(2, 4, r).</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><custom2><style face="normal" font="default" size="100%">MR1274529</style></custom2></record></records></xml>