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The Small Index Property for Free Groups and Relatively Free Groups
Authors:Bryant  Roger M; Evans  David M
Institution:Department of Mathematics, University of Manchester Institute of Science and Technology Manchester M60 1QD
School of Mathematics, University of East Anglia Norwich NR4 7TJ
Abstract:1. Some groups with the small index property In this paper we shall use the methods of the paper 6] by Hodges,Hodkinson, Lascar and Shelah to show that the free group ofcountably infinite rank and certain relatively free groups ofcountably infinite rank have the small index property.
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