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A topological proof of the residual finiteness of certain amalgamated free products

✍ Scribed by Marvin Tretkoff

Publisher: John Wiley and Sons
Year: 1973
Tongue: English
Weight: 293 KB
Volume: 26
Category: Article
ISSN: 0010-3640
DOI: 10.1002/cpa.3160260527

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✦ Synopsis

The purpose of the present paper is to give a topological proof of the fact that the free product of two residually finite groups with a finite subgroup amalgamated is itself residually finite. This theorem, which is due to G. Baumslag [2], is a generalization of the corresponding result for ordinary free products discovered by K. Gruenberg [3]. The proofs given by these authors utilize sophisticated techniques in combinatorial group theory, especially subgroup

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