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On Finitely Generated Subgroups of Free Products

Published online by Cambridge University Press:  09 April 2009

R. G. Burns
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If H is a subgroup of a group G we shall say that G is H-residually finite if for every element g in G, outside H, there is a subgroup of finite index in G, containing H and still avoiding g. (Then, according to the usual definition, G is residually finite if it is E-residually finite, where E is the identity subgroup). Definitions of other terms used below may be found in § 2 or in [6].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 12 , Issue 3 , August 1971 , pp. 358 - 364
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Burns, R. G., ‘A note on free groups’, Proc. Amer. Math. Soc., 23 (1969), 14–17.CrossRefGoogle Scholar
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[7]Karrass, A. and Solitar, D., ‘On finitely generated subgroups of a free group’, Proc. Amer. Math. Soc., 22 (1969), 209–213.CrossRefGoogle Scholar