Coxeter Groups, 2-Completion, Perimeter Reduction and Subgroup Separability

Details Coxeter Groups, 2-Completion, Perimeter Reduction and Subgroup Separability Coxeter Groups, 2-Completion, Perimeter Reduction and Subgroup Separability

2002-03-02

arxiv.org/abs/math/0203020v1

Mathematics

Group Theory

17 figures

Scientific paper

We show that all groups in a very large class of Coxeter groups are locally
quasiconvex and have uniform membership problem solvable in quadratic time. If
a group in the class satisfies a further hypothesis it is subgroup separable
and relevant homomorphisms are also calculable in quadratic time.
The algorithm also decides if a finitely generated subgroup has finite index.

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