Journal article

Reflections on some groups of B. H. Neumann

Gilbert Baumslag, Charles F Miller

JOURNAL OF GROUP THEORY | WALTER DE GRUYTER GMBH | Published : 2009

Abstract

In 1937, B. H. Neumann constructed a family of continuously many, non-isomorphic two-generator groups. We will prove that none of the infinite groups in this family are finitely presented, describe how to present them and classify their word problems. Other remarkable properties of Neumann's groups are also discussed. © de Gruyter 2009.

University of Melbourne Researchers

Grants

Awarded by National Science Foundation


Awarded by Australian Research Council


Funding Acknowledgements

The first author thanks the National Science Foundation for their support, Grant 0202382. The second author thanks the Australian Research Council for their support, Grant DP0209769.