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Publicly Available Published by De Gruyter April 17, 2009

Reflections on some groups of B. H. Neumann

  • Gilbert Baumslag and Charles F. Miller
From the journal Journal of Group Theory

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.

Received: 2006-02-02
Published Online: 2009-04-17
Published in Print: 2009-September

© de Gruyter 2009

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