Embeddings into efficient groups

Jens Harlander

doi:10.1017/s0013091500023750

Embeddings into efficient groups

Jens Harlander

Mathematics Department

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A finite presentation F/N of a group G is called efficient if d_F(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.

Original language	English
Pages (from-to)	317-324
Number of pages	8
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	40
Issue number	2
DOIs	https://doi.org/10.1017/s0013091500023750
State	Published - 1997

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title = "Embeddings into efficient groups",

abstract = "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.",

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AB - 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.

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DO - 10.1017/s0013091500023750

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VL - 40

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EP - 324

JO - Proceedings of the Edinburgh Mathematical Society

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Embeddings into efficient groups

Abstract

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