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Bulletin of the London Mathematical Society
Article . 2014 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2014
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Convexity of parabolic subgroups in Artin groups

Convexity of parabolic subgroups in Artin groups.
Authors: Charney, Ruth; Paris, Luis;

Convexity of parabolic subgroups in Artin groups

Abstract

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

Country
France
Keywords

standard generators, Generators, relations, and presentations of groups, Subgroup theorems; subgroup growth, Group Theory (math.GR), Braid groups; Artin groups, Artin groups, convex subgroups, FOS: Mathematics, generating sets, Geometric group theory, Artin systems, Mathematics - Group Theory, [MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR], Coxeter graphs

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    18
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
18
Top 10%
Top 10%
Top 10%
Green
bronze