On asphericity and the Freiheitssatz for certain finitely presented groups

S. V. Ivanov; J. C. Meakin

doi:10.1016/S0022-4049(00)00074-8

On asphericity and the Freiheitssatz for certain finitely presented groups

S. V. Ivanov, J. C. Meakin

Mathematics

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

Abstract

The classical results of Magnus on one-relator groups (such as the Freiheitssatz and the solvability of the generalized word problem for Magnus subgroups) are generalized to some finitely presented groups whose relators are constructed inductively. The diagrammatic asphericity of such group presentations is also proven.

Original language	English (US)
Pages (from-to)	113-121
Number of pages	9
Journal	Journal of Pure and Applied Algebra
Volume	159
Issue number	1
DOIs	https://doi.org/10.1016/S0022-4049(00)00074-8
State	Published - May 8 2001

Keywords

20F06
20F32
Primary 20F05
Secondary 57M20

ASJC Scopus subject areas

Algebra and Number Theory

Online availability

10.1016/S0022-4049(00)00074-8

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abstract = "The classical results of Magnus on one-relator groups (such as the Freiheitssatz and the solvability of the generalized word problem for Magnus subgroups) are generalized to some finitely presented groups whose relators are constructed inductively. The diagrammatic asphericity of such group presentations is also proven.",

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AB - The classical results of Magnus on one-relator groups (such as the Freiheitssatz and the solvability of the generalized word problem for Magnus subgroups) are generalized to some finitely presented groups whose relators are constructed inductively. The diagrammatic asphericity of such group presentations is also proven.

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KW - Secondary 57M20

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On asphericity and the Freiheitssatz for certain finitely presented groups

Abstract

Keywords

ASJC Scopus subject areas

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