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Monoid presentations of groups by finite special string-rewriting systems

By Duncan W. Parkes, V. Yu Shavrukov and Richard M. Thomas


We show that the class of groups which have monoid presentations by means of finite special [λ]-confluent string-rewriting systems strictly contains the class of plain groups (the groups which are free products of a finitely generated free group and finitely many finite groups), and that any group which has an infinite cyclic central subgroup can be presented by such a string-rewriting system if and only if it is the direct product of an infinite cyclic group and a finite cyclic group

Year: 2004
DOI identifier: 10.1051/ita:2004012
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