Convexity of parabolic subgroups in Artin groups
نویسندگان
چکیده
We prove that any standard parabolic subgroup of any Artin group is convex with respect to the standard generating set.
منابع مشابه
Parabolic subgroups of Garside groups
A Garside monoid is a cancellative monoid with a finite lattice generating set; a Garside group is the group of fractions of a Garside monoid. The family of Garside groups contains the Artin-Tits groups of spherical type. We generalise the well-known notion of a parabolic subgroup of an Artin-Tits group into that of a parabolic subgroup of a Garside group. We also define the more general notion...
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