Finitely generated subgroups of amalgamated free products and HNN groups-Reference-Cited by-同舟云学术

Finitely generated subgroups of amalgamated free products and HNN groups

Published:1976-11 Issue:3 Volume:22 Page:274-281
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Cohen Daniel E.

Abstract

AbstractThe theory of groups acting on trees due to Bass and Serre (1969) is applied to simplify some results of Burns (1972, 1973) giving conditions under which an amalgamated free product or HNN extension has the properties that any finitely generated subgroup containing an infinite subnormal subgroup must have finite index and that the intersection of two finitely generated subgroups is finitely generated.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. On the finitely generated subgroups of an amalgamated product of two groups

2. Finitely Generated Subgroups of HNN Groups

3. Subgroups of HNN groups

4. The intersection of finitely generated subgroups;Moldavanskiiˇ;Sibirsk. Mat. Z`,1968

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