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On a certain class of group presentations

Published online by Cambridge University Press:  24 October 2008

M. Edjvet
M. Edjvet
Affiliation:
Department of Mathematics, University of Nottingham, Nottingham NG7 2RD
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Extract

In [8] and [9] S. J. Pride has initiated a study of group presentations in which each defining relator involves exactly two members of the generating set. The methods there involve the use of graphs and so-called edge groups – the building blocks of such presentations. In this paper we replace ‘graph’ by ‘set of finite subsets of a given set’, and ‘edge group’ by ‘face group’ in order to study a larger class of presentations. This way we are able to extend to this larger class a Freiheitssatz and a result on diagrammatic asphericity which appear in the references cited above.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 1 , January 1989 , pp. 25 - 35
Copyright
Copyright © Cambridge Philosophical Society 1989

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References

REFERENCES

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