Combing Euclidean buildings

Details Combing Euclidean buildings Combing Euclidean buildings

2000-01-28

arxiv.org/abs/math/0001186v1

Geom. Topol. 4 (2000), 85-116

Mathematics

Group Theory

32 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol4/paper2.abs.html

Scientific paper

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
A_n,B_n,C_n admits a biautomatic structure.

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