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Subgroups of finite index in groups with finite complete rewriting systems

Published online by Cambridge University Press:  20 January 2009

S. J. Pride  and
Jing Wang
S. J. Pride
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK
Jing Wang
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK
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Abstract

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We show that if a group G has a finite complete rewriting system, and if H is a subgroup of G with |G : H| = n, then H * Fn–1 also has a finite complete rewriting system (where Fn–1 is the free group of rank n – 1).

Keywords

complete rewriting systemdirected 2-complexsubgroup
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 1 , February 2000 , pp. 177 - 183
Copyright
Copyright © Edinburgh Mathematical Society 2000

References

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