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november 2016 Transitive parallelism of residues in buildings
Antoine Clais
Bull. Belg. Math. Soc. Simon Stevin 23(4): 625-640 (november 2016). DOI: 10.36045/bbms/1480993592

Abstract

We study the buildings in which parallelism of residues is an equivalence relation. If the building admits a group action, we describe how parallel residues are related to residues with equal stabilizers. This permits to retrieve the fact that in a Coxeter group or in a graph product, intersections of parabolic subgroups are parabolic.

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Antoine Clais. "Transitive parallelism of residues in buildings." Bull. Belg. Math. Soc. Simon Stevin 23 (4) 625 - 640, november 2016. https://doi.org/10.36045/bbms/1480993592

Information

Published: november 2016
First available in Project Euclid: 6 December 2016

zbMATH: 06684737
MathSciNet: MR3579673
Digital Object Identifier: 10.36045/bbms/1480993592

Subjects:
Primary: 20E42, 20F55

Rights: Copyright © 2016 The Belgian Mathematical Society

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Vol.23 • No. 4 • november 2016
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