
arXiv: 1401.7634
We prove that any standard parabolic subgroup of any Artin group is convex with respect to the standard generating set.
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
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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