Combing Euclidean buildings
Gennady A. Noskov
Abstract
For an arbitrary Euclidean building we define a certain combing, which satisfies the `fellow traveller property' and admits a recursive definition. Using this combing we prove that any group acting freely, cocompactly and by order preserving automorphisms on a Euclidean building of one of the types An,Bn,Cn admits a biautomatic structure.
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