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A proof of the Scott–Wiegold conjecture on free products of cyclic groups

✍ Scribed by James Howie

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 110 KB
Volume: 173
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(02)00042-7

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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 ordinar