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directed 2-complex

Proceedings of the Edinburgh Mathematical Society (1)

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Subgroups of finite index in groups with finite complete rewriting systems
S. J. Pride, Jing Wang
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 43 / Issue 1 / February 2000

Published online by Cambridge University Press:

20 January 2009, pp. 177-183
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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).