Bulletin of the Australian Mathematical Society
- Bulletin of the Australian Mathematical Society / Volume 29 / Issue 03 / June 1984, pp 401-404
- Copyright © Australian Mathematical Society 1984
- DOI: http://dx.doi.org/10.1017/S000497270002164X (About DOI), Published online: 17 April 2009
Research Article
Free products of locally indicable groups with a single relator
Benjamin Baumslaga1
a1 Department of Mathematics, Imperial College of Science & Technology, Queen's Gate, London SW7 2BZ, England
Abstract
The method of proof of Magnus introduced in 1930 is adapted to prove the following theorem of Howie. If A and B are groups for which every finitely generated subgroup has an infinite cyclic image, and if one adds an additional relation (with obvious exceptions), then in the resultant group both A and B appear isomorphically.
(Received January 05 1984)
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