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Journal of the London Mathematical Society 1997 55(2):363-369; doi:10.1112/S0024610796004711
© 1997 by London Mathematical Society
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© The London Mathematical Society

The Small Index Property for Free Groups and Relatively Free Groups

Roger M. Bryant and David M. Evans

Department of Mathematics, University of Manchester Institute of Science and Technology Manchester M60 1QD
School of Mathematics, University of East Anglia Norwich NR4 7TJ

Received 9 February 1996.

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 of countably infinite rank and certain relatively free groups of countably infinite rank have the small index property.


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