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THE SMALL INDEX PROPERTY FOR FREE GROUPS AND RELATIVELY FREE GROUPS

Published online by Cambridge University Press:  01 April 1997

ROGER M. BRYANT  and
DAVID M. EVANS
ROGER M. BRYANT
Affiliation:
Department of Mathematics, University of Manchester Institute of Science and Technology, Manchester M60 1QD
DAVID M. EVANS
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ
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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 of countably infinite rank and certain relatively free groups of countably infinite rank have the small index property.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 55 , Issue 2 , April 1997 , pp. 363 - 369
Copyright
The London Mathematical Society 1997

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