Convexity of parabolic subgroups in Artin groups

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Convexity of parabolic subgroups in Artin groups

Ruth Charney and Luis Paris

The Bulletin of the London Mathematical Society, Vol.46(6), pp.1248-1255

12/01/2014

DOI: https://doi.org/10.1112/blms/bdu077

Abstract

Science & Technology

Mathematics

Physical Sciences

We prove that any standard parabolic subgroup of any Artin group is convex with respect to the standard generating set.

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Title: Convexity of parabolic subgroups in Artin groups
Creators: Ruth Charney - Brandeis University, Department of Mathematics
Luis Paris - Univ Bourgogne, Inst Math Bourgogne, CNRS, UMR 5584, F-21078 Dijon, France
Publication Details: The Bulletin of the London Mathematical Society, Vol.46(6), pp.1248-1255
Publisher: WILEY
Number of pages: 8
Grant note: DMS-1106726 / NSF
Identifiers: 9924086604301921
Academic Unit: Department of Mathematics
Language: English
Resource Type: Journal article