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Embeddings into efficient groups

Published online by Cambridge University Press:  20 January 2009

Jens Harlander
Jens Harlander
Affiliation:
FB Mathematik, Universität Frankfurt, Robert-Mayer-Str. 8, 60054 Frankfurt/Main, Germany
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Abstract

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A finite presentation F/N of a group G is called efficient if dF(N) = d(H2(G)) + d(F) – r(H1(G)). A finitely presented group is called efficient if it admits an efficient presentation. We show that a finitely presented group embeds into an efficient group.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 2 , June 1997, pp. 317 - 324
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

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